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Finding the Fourth Proportional to 2,428.74, 3,640.68 and 1,042.98

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Solution

The fourth proportional to 2,428.74, 3,640.68 and 1,042.98 is: 1,563.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.74 : 3,640.68 = 1,042.98 : x
  2. Step 2: Convert to fraction form
    2,428.74/3,640.68 = 1,042.98/x
  3. Step 3: Cross multiply
    2,428.74x = 3,640.68 × 1,042.98
  4. Step 4: Simplify right side
    2,428.74x = 3,797,156.43
  5. Step 5: Solve for x
    x = 3,797,156.43/2,428.74
  6. Step 6: Final answer
    x = 1,563.43

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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.