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Finding the Fourth Proportional to 2,232.41, 3,349.02 and 846.15

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Solution

The fourth proportional to 2,232.41, 3,349.02 and 846.15 is: 1,269.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.41 : 3,349.02 = 846.15 : x
  2. Step 2: Convert to fraction form
    2,232.41/3,349.02 = 846.15/x
  3. Step 3: Cross multiply
    2,232.41x = 3,349.02 × 846.15
  4. Step 4: Simplify right side
    2,232.41x = 2,833,773.27
  5. Step 5: Solve for x
    x = 2,833,773.27/2,232.41
  6. Step 6: Final answer
    x = 1,269.38

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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.