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Finding the Fourth Proportional to 2,747.16, 4,120.72 and 667.17

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Solution

The fourth proportional to 2,747.16, 4,120.72 and 667.17 is: 1,000.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.16 : 4,120.72 = 667.17 : x
  2. Step 2: Convert to fraction form
    2,747.16/4,120.72 = 667.17/x
  3. Step 3: Cross multiply
    2,747.16x = 4,120.72 × 667.17
  4. Step 4: Simplify right side
    2,747.16x = 2,749,220.76
  5. Step 5: Solve for x
    x = 2,749,220.76/2,747.16
  6. Step 6: Final answer
    x = 1,000.75

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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.