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Finding the Fourth Proportional to 3,472.32, 4,792.50 and 2,146.80

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Solution

The fourth proportional to 3,472.32, 4,792.50 and 2,146.80 is: 2,963.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.32 : 4,792.50 = 2,146.80 : x
  2. Step 2: Convert to fraction form
    3,472.32/4,792.50 = 2,146.80/x
  3. Step 3: Cross multiply
    3,472.32x = 4,792.50 × 2,146.80
  4. Step 4: Simplify right side
    3,472.32x = 10,288,539
  5. Step 5: Solve for x
    x = 10,288,539/3,472.32
  6. Step 6: Final answer
    x = 2,963.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.