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Finding the Fourth Proportional to 2,292.32, 3,437.16 and 732.02

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Solution

The fourth proportional to 2,292.32, 3,437.16 and 732.02 is: 1,097.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.32 : 3,437.16 = 732.02 : x
  2. Step 2: Convert to fraction form
    2,292.32/3,437.16 = 732.02/x
  3. Step 3: Cross multiply
    2,292.32x = 3,437.16 × 732.02
  4. Step 4: Simplify right side
    2,292.32x = 2,516,069.86
  5. Step 5: Solve for x
    x = 2,516,069.86/2,292.32
  6. Step 6: Final answer
    x = 1,097.61

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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.