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Finding the Fourth Proportional to 2,792.46, 4,180.49 and 2,399.71

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Solution

The fourth proportional to 2,792.46, 4,180.49 and 2,399.71 is: 3,592.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.46 : 4,180.49 = 2,399.71 : x
  2. Step 2: Convert to fraction form
    2,792.46/4,180.49 = 2,399.71/x
  3. Step 3: Cross multiply
    2,792.46x = 4,180.49 × 2,399.71
  4. Step 4: Simplify right side
    2,792.46x = 10,031,963.66
  5. Step 5: Solve for x
    x = 10,031,963.66/2,792.46
  6. Step 6: Final answer
    x = 3,592.52

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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.