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Finding the Fourth Proportional to 2,001.58, 3,002.33 and 614.93

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Solution

The fourth proportional to 2,001.58, 3,002.33 and 614.93 is: 922.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.58 : 3,002.33 = 614.93 : x
  2. Step 2: Convert to fraction form
    2,001.58/3,002.33 = 614.93/x
  3. Step 3: Cross multiply
    2,001.58x = 3,002.33 × 614.93
  4. Step 4: Simplify right side
    2,001.58x = 1,846,209.31
  5. Step 5: Solve for x
    x = 1,846,209.31/2,001.58
  6. Step 6: Final answer
    x = 922.38

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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.