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Finding the Fourth Proportional to 2,232.83, 3,349.71 and 846.14

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Solution

The fourth proportional to 2,232.83, 3,349.71 and 846.14 is: 1,269.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.83 : 3,349.71 = 846.14 : x
  2. Step 2: Convert to fraction form
    2,232.83/3,349.71 = 846.14/x
  3. Step 3: Cross multiply
    2,232.83x = 3,349.71 × 846.14
  4. Step 4: Simplify right side
    2,232.83x = 2,834,323.62
  5. Step 5: Solve for x
    x = 2,834,323.62/2,232.83
  6. Step 6: Final answer
    x = 1,269.39

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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.