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Finding the Fourth Proportional to 2,001.98, 3,002.98 and 615.32

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Solution

The fourth proportional to 2,001.98, 3,002.98 and 615.32 is: 922.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.98 : 3,002.98 = 615.32 : x
  2. Step 2: Convert to fraction form
    2,001.98/3,002.98 = 615.32/x
  3. Step 3: Cross multiply
    2,001.98x = 3,002.98 × 615.32
  4. Step 4: Simplify right side
    2,001.98x = 1,847,793.65
  5. Step 5: Solve for x
    x = 1,847,793.65/2,001.98
  6. Step 6: Final answer
    x = 922.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.