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Finding the Fourth Proportional to 2,001.88, 3,002.84 and 615.20

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Solution

The fourth proportional to 2,001.88, 3,002.84 and 615.20 is: 922.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.88 : 3,002.84 = 615.20 : x
  2. Step 2: Convert to fraction form
    2,001.88/3,002.84 = 615.20/x
  3. Step 3: Cross multiply
    2,001.88x = 3,002.84 × 615.20
  4. Step 4: Simplify right side
    2,001.88x = 1,847,331.38
  5. Step 5: Solve for x
    x = 1,847,331.38/2,001.88
  6. Step 6: Final answer
    x = 922.80

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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.