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Finding the Fourth Proportional to 2,614.79, 3,921.77 and 765.47

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Solution

The fourth proportional to 2,614.79, 3,921.77 and 765.47 is: 1,148.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.79 : 3,921.77 = 765.47 : x
  2. Step 2: Convert to fraction form
    2,614.79/3,921.77 = 765.47/x
  3. Step 3: Cross multiply
    2,614.79x = 3,921.77 × 765.47
  4. Step 4: Simplify right side
    2,614.79x = 3,001,973.85
  5. Step 5: Solve for x
    x = 3,001,973.85/2,614.79
  6. Step 6: Final answer
    x = 1,148.08

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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.