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Finding the Fourth Proportional to 2,672.31, 4,011.05 and 1,286.60

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Solution

The fourth proportional to 2,672.31, 4,011.05 and 1,286.60 is: 1,931.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.31 : 4,011.05 = 1,286.60 : x
  2. Step 2: Convert to fraction form
    2,672.31/4,011.05 = 1,286.60/x
  3. Step 3: Cross multiply
    2,672.31x = 4,011.05 × 1,286.60
  4. Step 4: Simplify right side
    2,672.31x = 5,160,630.17
  5. Step 5: Solve for x
    x = 5,160,630.17/2,672.31
  6. Step 6: Final answer
    x = 1,931.15

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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.