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Finding the Fourth Proportional to 2,565.48, 3,841.92 and 1,638.30

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Solution

The fourth proportional to 2,565.48, 3,841.92 and 1,638.30 is: 2,453.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.48 : 3,841.92 = 1,638.30 : x
  2. Step 2: Convert to fraction form
    2,565.48/3,841.92 = 1,638.30/x
  3. Step 3: Cross multiply
    2,565.48x = 3,841.92 × 1,638.30
  4. Step 4: Simplify right side
    2,565.48x = 6,294,217.54
  5. Step 5: Solve for x
    x = 6,294,217.54/2,565.48
  6. Step 6: Final answer
    x = 2,453.43

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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.