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Finding the Fourth Proportional to 1,439.61, 2,161.26 and 747.69

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Solution

The fourth proportional to 1,439.61, 2,161.26 and 747.69 is: 1,122.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.61 : 2,161.26 = 747.69 : x
  2. Step 2: Convert to fraction form
    1,439.61/2,161.26 = 747.69/x
  3. Step 3: Cross multiply
    1,439.61x = 2,161.26 × 747.69
  4. Step 4: Simplify right side
    1,439.61x = 1,615,952.49
  5. Step 5: Solve for x
    x = 1,615,952.49/1,439.61
  6. Step 6: Final answer
    x = 1,122.49

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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.