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Finding the Fourth Proportional to 2,614.12, 3,921.55 and 765.38

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Solution

The fourth proportional to 2,614.12, 3,921.55 and 765.38 is: 1,148.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.12 : 3,921.55 = 765.38 : x
  2. Step 2: Convert to fraction form
    2,614.12/3,921.55 = 765.38/x
  3. Step 3: Cross multiply
    2,614.12x = 3,921.55 × 765.38
  4. Step 4: Simplify right side
    2,614.12x = 3,001,475.94
  5. Step 5: Solve for x
    x = 3,001,475.94/2,614.12
  6. Step 6: Final answer
    x = 1,148.18

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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.