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Finding the Fourth Proportional to 1,614.78, 2,422.26 and 641.58

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Solution

The fourth proportional to 1,614.78, 2,422.26 and 641.58 is: 962.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.78 : 2,422.26 = 641.58 : x
  2. Step 2: Convert to fraction form
    1,614.78/2,422.26 = 641.58/x
  3. Step 3: Cross multiply
    1,614.78x = 2,422.26 × 641.58
  4. Step 4: Simplify right side
    1,614.78x = 1,554,073.57
  5. Step 5: Solve for x
    x = 1,554,073.57/1,614.78
  6. Step 6: Final answer
    x = 962.41

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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.