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Finding the Fourth Proportional to 1,866.72, 2,577.88 and 1,691.76

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Solution

The fourth proportional to 1,866.72, 2,577.88 and 1,691.76 is: 2,336.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.72 : 2,577.88 = 1,691.76 : x
  2. Step 2: Convert to fraction form
    1,866.72/2,577.88 = 1,691.76/x
  3. Step 3: Cross multiply
    1,866.72x = 2,577.88 × 1,691.76
  4. Step 4: Simplify right side
    1,866.72x = 4,361,154.27
  5. Step 5: Solve for x
    x = 4,361,154.27/1,866.72
  6. Step 6: Final answer
    x = 2,336.27

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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.