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Finding the Fourth Proportional to 2,329.72, 3,489.55 and 1,095.28

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Solution

The fourth proportional to 2,329.72, 3,489.55 and 1,095.28 is: 1,640.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.72 : 3,489.55 = 1,095.28 : x
  2. Step 2: Convert to fraction form
    2,329.72/3,489.55 = 1,095.28/x
  3. Step 3: Cross multiply
    2,329.72x = 3,489.55 × 1,095.28
  4. Step 4: Simplify right side
    2,329.72x = 3,822,022.86
  5. Step 5: Solve for x
    x = 3,822,022.86/2,329.72
  6. Step 6: Final answer
    x = 1,640.55

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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.