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Finding the Fourth Proportional to 2,000.09, 3,001.49 and 701.55

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Solution

The fourth proportional to 2,000.09, 3,001.49 and 701.55 is: 1,052.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.09 : 3,001.49 = 701.55 : x
  2. Step 2: Convert to fraction form
    2,000.09/3,001.49 = 701.55/x
  3. Step 3: Cross multiply
    2,000.09x = 3,001.49 × 701.55
  4. Step 4: Simplify right side
    2,000.09x = 2,105,691.80
  5. Step 5: Solve for x
    x = 2,105,691.80/2,000.09
  6. Step 6: Final answer
    x = 1,052.80

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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.