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Finding the Fourth Proportional to 2,758.71, 4,138.05 and 1,115.25

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Solution

The fourth proportional to 2,758.71, 4,138.05 and 1,115.25 is: 1,672.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.71 : 4,138.05 = 1,115.25 : x
  2. Step 2: Convert to fraction form
    2,758.71/4,138.05 = 1,115.25/x
  3. Step 3: Cross multiply
    2,758.71x = 4,138.05 × 1,115.25
  4. Step 4: Simplify right side
    2,758.71x = 4,614,973.40
  5. Step 5: Solve for x
    x = 4,614,973.40/2,758.71
  6. Step 6: Final answer
    x = 1,672.88

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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.