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Finding the Fourth Proportional to 2,767.30, 4,150.98 and 687.34

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Solution

The fourth proportional to 2,767.30, 4,150.98 and 687.34 is: 1,031.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.30 : 4,150.98 = 687.34 : x
  2. Step 2: Convert to fraction form
    2,767.30/4,150.98 = 687.34/x
  3. Step 3: Cross multiply
    2,767.30x = 4,150.98 × 687.34
  4. Step 4: Simplify right side
    2,767.30x = 2,853,134.59
  5. Step 5: Solve for x
    x = 2,853,134.59/2,767.30
  6. Step 6: Final answer
    x = 1,031.02

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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.