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Finding the Fourth Proportional to 2,574.72, 3,862.32 and 843.52

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Solution

The fourth proportional to 2,574.72, 3,862.32 and 843.52 is: 1,265.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.72 : 3,862.32 = 843.52 : x
  2. Step 2: Convert to fraction form
    2,574.72/3,862.32 = 843.52/x
  3. Step 3: Cross multiply
    2,574.72x = 3,862.32 × 843.52
  4. Step 4: Simplify right side
    2,574.72x = 3,257,944.17
  5. Step 5: Solve for x
    x = 3,257,944.17/2,574.72
  6. Step 6: Final answer
    x = 1,265.36

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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.