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Finding the Fourth Proportional to 3,116.52, 4,675.14 and 1,449.78

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Solution

The fourth proportional to 3,116.52, 4,675.14 and 1,449.78 is: 2,174.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.52 : 4,675.14 = 1,449.78 : x
  2. Step 2: Convert to fraction form
    3,116.52/4,675.14 = 1,449.78/x
  3. Step 3: Cross multiply
    3,116.52x = 4,675.14 × 1,449.78
  4. Step 4: Simplify right side
    3,116.52x = 6,777,924.47
  5. Step 5: Solve for x
    x = 6,777,924.47/3,116.52
  6. Step 6: Final answer
    x = 2,174.84

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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.