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Finding the Fourth Proportional to 2,002.11, 3,001.33 and 891.29

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Solution

The fourth proportional to 2,002.11, 3,001.33 and 891.29 is: 1,336.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.11 : 3,001.33 = 891.29 : x
  2. Step 2: Convert to fraction form
    2,002.11/3,001.33 = 891.29/x
  3. Step 3: Cross multiply
    2,002.11x = 3,001.33 × 891.29
  4. Step 4: Simplify right side
    2,002.11x = 2,675,055.42
  5. Step 5: Solve for x
    x = 2,675,055.42/2,002.11
  6. Step 6: Final answer
    x = 1,336.12

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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.