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Finding the Fourth Proportional to 2,577.68, 3,867.48 and 1,537.52

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Solution

The fourth proportional to 2,577.68, 3,867.48 and 1,537.52 is: 2,306.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.68 : 3,867.48 = 1,537.52 : x
  2. Step 2: Convert to fraction form
    2,577.68/3,867.48 = 1,537.52/x
  3. Step 3: Cross multiply
    2,577.68x = 3,867.48 × 1,537.52
  4. Step 4: Simplify right side
    2,577.68x = 5,946,327.85
  5. Step 5: Solve for x
    x = 5,946,327.85/2,577.68
  6. Step 6: Final answer
    x = 2,306.85

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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.