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Finding the Fourth Proportional to 2,002.11, 2,997.53 and 1,062.92

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Solution

The fourth proportional to 2,002.11, 2,997.53 and 1,062.92 is: 1,591.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.11 : 2,997.53 = 1,062.92 : x
  2. Step 2: Convert to fraction form
    2,002.11/2,997.53 = 1,062.92/x
  3. Step 3: Cross multiply
    2,002.11x = 2,997.53 × 1,062.92
  4. Step 4: Simplify right side
    2,002.11x = 3,186,114.29
  5. Step 5: Solve for x
    x = 3,186,114.29/2,002.11
  6. Step 6: Final answer
    x = 1,591.38

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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.