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Finding the Fourth Proportional to 1,602.34, 2,401.86 and 614.92

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Solution

The fourth proportional to 1,602.34, 2,401.86 and 614.92 is: 921.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.34 : 2,401.86 = 614.92 : x
  2. Step 2: Convert to fraction form
    1,602.34/2,401.86 = 614.92/x
  3. Step 3: Cross multiply
    1,602.34x = 2,401.86 × 614.92
  4. Step 4: Simplify right side
    1,602.34x = 1,476,951.75
  5. Step 5: Solve for x
    x = 1,476,951.75/1,602.34
  6. Step 6: Final answer
    x = 921.75

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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.