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Finding the Fourth Proportional to 2,687.55, 4,031.34 and 739.86

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Solution

The fourth proportional to 2,687.55, 4,031.34 and 739.86 is: 1,109.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.55 : 4,031.34 = 739.86 : x
  2. Step 2: Convert to fraction form
    2,687.55/4,031.34 = 739.86/x
  3. Step 3: Cross multiply
    2,687.55x = 4,031.34 × 739.86
  4. Step 4: Simplify right side
    2,687.55x = 2,982,607.06
  5. Step 5: Solve for x
    x = 2,982,607.06/2,687.55
  6. Step 6: Final answer
    x = 1,109.79

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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.