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Finding the Fourth Proportional to 2,006.89, 2,769.57 and 1,122.68

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Solution

The fourth proportional to 2,006.89, 2,769.57 and 1,122.68 is: 1,549.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.89 : 2,769.57 = 1,122.68 : x
  2. Step 2: Convert to fraction form
    2,006.89/2,769.57 = 1,122.68/x
  3. Step 3: Cross multiply
    2,006.89x = 2,769.57 × 1,122.68
  4. Step 4: Simplify right side
    2,006.89x = 3,109,347.77
  5. Step 5: Solve for x
    x = 3,109,347.77/2,006.89
  6. Step 6: Final answer
    x = 1,549.34

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Why These Related Problems?

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