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Finding the Fourth Proportional to 2,506.97, 3,760.91 and 1,046.13

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Solution

The fourth proportional to 2,506.97, 3,760.91 and 1,046.13 is: 1,569.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.97 : 3,760.91 = 1,046.13 : x
  2. Step 2: Convert to fraction form
    2,506.97/3,760.91 = 1,046.13/x
  3. Step 3: Cross multiply
    2,506.97x = 3,760.91 × 1,046.13
  4. Step 4: Simplify right side
    2,506.97x = 3,934,395.55
  5. Step 5: Solve for x
    x = 3,934,395.55/2,506.97
  6. Step 6: Final answer
    x = 1,569.39

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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.