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Finding the Fourth Proportional to 2,003.72, 3,001.02 and 1,384.62

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Solution

The fourth proportional to 2,003.72, 3,001.02 and 1,384.62 is: 2,073.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.72 : 3,001.02 = 1,384.62 : x
  2. Step 2: Convert to fraction form
    2,003.72/3,001.02 = 1,384.62/x
  3. Step 3: Cross multiply
    2,003.72x = 3,001.02 × 1,384.62
  4. Step 4: Simplify right side
    2,003.72x = 4,155,272.31
  5. Step 5: Solve for x
    x = 4,155,272.31/2,003.72
  6. Step 6: Final answer
    x = 2,073.78

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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.