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Finding the Fourth Proportional to 3,123.74, 4,687.23 and 2,265.14

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Solution

The fourth proportional to 3,123.74, 4,687.23 and 2,265.14 is: 3,398.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.74 : 4,687.23 = 2,265.14 : x
  2. Step 2: Convert to fraction form
    3,123.74/4,687.23 = 2,265.14/x
  3. Step 3: Cross multiply
    3,123.74x = 4,687.23 × 2,265.14
  4. Step 4: Simplify right side
    3,123.74x = 10,617,232.16
  5. Step 5: Solve for x
    x = 10,617,232.16/3,123.74
  6. Step 6: Final answer
    x = 3,398.88

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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.