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Finding the Fourth Proportional to 2,577.98, 3,867.17 and 1,116.87

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Solution

The fourth proportional to 2,577.98, 3,867.17 and 1,116.87 is: 1,675.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.98 : 3,867.17 = 1,116.87 : x
  2. Step 2: Convert to fraction form
    2,577.98/3,867.17 = 1,116.87/x
  3. Step 3: Cross multiply
    2,577.98x = 3,867.17 × 1,116.87
  4. Step 4: Simplify right side
    2,577.98x = 4,319,120.57
  5. Step 5: Solve for x
    x = 4,319,120.57/2,577.98
  6. Step 6: Final answer
    x = 1,675.39

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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.