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Finding the Fourth Proportional to 2,358.46, 3,538.61 and 715.18

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Solution

The fourth proportional to 2,358.46, 3,538.61 and 715.18 is: 1,073.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.46 : 3,538.61 = 715.18 : x
  2. Step 2: Convert to fraction form
    2,358.46/3,538.61 = 715.18/x
  3. Step 3: Cross multiply
    2,358.46x = 3,538.61 × 715.18
  4. Step 4: Simplify right side
    2,358.46x = 2,530,721.83
  5. Step 5: Solve for x
    x = 2,530,721.83/2,358.46
  6. Step 6: Final answer
    x = 1,073.04

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