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Finding the Fourth Proportional to 2,165.54, 3,248.37 and 899.63

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Solution

The fourth proportional to 2,165.54, 3,248.37 and 899.63 is: 1,349.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.54 : 3,248.37 = 899.63 : x
  2. Step 2: Convert to fraction form
    2,165.54/3,248.37 = 899.63/x
  3. Step 3: Cross multiply
    2,165.54x = 3,248.37 × 899.63
  4. Step 4: Simplify right side
    2,165.54x = 2,922,331.10
  5. Step 5: Solve for x
    x = 2,922,331.10/2,165.54
  6. Step 6: Final answer
    x = 1,349.47

Related Problems

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Half scale
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Double scale
Find fourth proportional to 2,166.54, 3,249.87 and 900.63
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.