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Finding the Fourth Proportional to 2,732.68, 4,099.29 and 785.17

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Solution

The fourth proportional to 2,732.68, 4,099.29 and 785.17 is: 1,177.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.68 : 4,099.29 = 785.17 : x
  2. Step 2: Convert to fraction form
    2,732.68/4,099.29 = 785.17/x
  3. Step 3: Cross multiply
    2,732.68x = 4,099.29 × 785.17
  4. Step 4: Simplify right side
    2,732.68x = 3,218,639.53
  5. Step 5: Solve for x
    x = 3,218,639.53/2,732.68
  6. Step 6: Final answer
    x = 1,177.83

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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.