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Finding the Fourth Proportional to 2,909.68, 4,365.14 and 963.26

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Solution

The fourth proportional to 2,909.68, 4,365.14 and 963.26 is: 1,445.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.68 : 4,365.14 = 963.26 : x
  2. Step 2: Convert to fraction form
    2,909.68/4,365.14 = 963.26/x
  3. Step 3: Cross multiply
    2,909.68x = 4,365.14 × 963.26
  4. Step 4: Simplify right side
    2,909.68x = 4,204,764.76
  5. Step 5: Solve for x
    x = 4,204,764.76/2,909.68
  6. Step 6: Final answer
    x = 1,445.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.