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Finding the Fourth Proportional to 2,006.97, 2,769.66 and 1,122.81

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Solution

The fourth proportional to 2,006.97, 2,769.66 and 1,122.81 is: 1,549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.97 : 2,769.66 = 1,122.81 : x
  2. Step 2: Convert to fraction form
    2,006.97/2,769.66 = 1,122.81/x
  3. Step 3: Cross multiply
    2,006.97x = 2,769.66 × 1,122.81
  4. Step 4: Simplify right side
    2,006.97x = 3,109,801.94
  5. Step 5: Solve for x
    x = 3,109,801.94/2,006.97
  6. Step 6: Final answer
    x = 1,549.50

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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.