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Finding the Fourth Proportional to 2,006.49, 2,769.11 and 1,343.61

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Solution

The fourth proportional to 2,006.49, 2,769.11 and 1,343.61 is: 1,854.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.49 : 2,769.11 = 1,343.61 : x
  2. Step 2: Convert to fraction form
    2,006.49/2,769.11 = 1,343.61/x
  3. Step 3: Cross multiply
    2,006.49x = 2,769.11 × 1,343.61
  4. Step 4: Simplify right side
    2,006.49x = 3,720,597.17
  5. Step 5: Solve for x
    x = 3,720,597.17/2,006.49
  6. Step 6: Final answer
    x = 1,854.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.