Home / 1,614.64-2,227.34-1,171.78

Finding the Fourth Proportional to 1,614.64, 2,227.34 and 1,171.78

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Solution

The fourth proportional to 1,614.64, 2,227.34 and 1,171.78 is: 1,616.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.64 : 2,227.34 = 1,171.78 : x
  2. Step 2: Convert to fraction form
    1,614.64/2,227.34 = 1,171.78/x
  3. Step 3: Cross multiply
    1,614.64x = 2,227.34 × 1,171.78
  4. Step 4: Simplify right side
    1,614.64x = 2,609,952.47
  5. Step 5: Solve for x
    x = 2,609,952.47/1,614.64
  6. Step 6: Final answer
    x = 1,616.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.