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Finding the Fourth Proportional to 2,006.76, 2,769.45 and 1,122.62

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Solution

The fourth proportional to 2,006.76, 2,769.45 and 1,122.62 is: 1,549.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.76 : 2,769.45 = 1,122.62 : x
  2. Step 2: Convert to fraction form
    2,006.76/2,769.45 = 1,122.62/x
  3. Step 3: Cross multiply
    2,006.76x = 2,769.45 × 1,122.62
  4. Step 4: Simplify right side
    2,006.76x = 3,109,026.11
  5. Step 5: Solve for x
    x = 3,109,026.11/2,006.76
  6. Step 6: Final answer
    x = 1,549.28

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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.