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Finding the Fourth Proportional to 2,569.74, 3,542.81 and 1,862.61

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Solution

The fourth proportional to 2,569.74, 3,542.81 and 1,862.61 is: 2,567.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.74 : 3,542.81 = 1,862.61 : x
  2. Step 2: Convert to fraction form
    2,569.74/3,542.81 = 1,862.61/x
  3. Step 3: Cross multiply
    2,569.74x = 3,542.81 × 1,862.61
  4. Step 4: Simplify right side
    2,569.74x = 6,598,864.02
  5. Step 5: Solve for x
    x = 6,598,864.02/2,569.74
  6. Step 6: Final answer
    x = 2,567.91

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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.