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Finding the Fourth Proportional to 2,007.22, 2,769.92 and 1,123.12

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Solution

The fourth proportional to 2,007.22, 2,769.92 and 1,123.12 is: 1,549.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.22 : 2,769.92 = 1,123.12 : x
  2. Step 2: Convert to fraction form
    2,007.22/2,769.92 = 1,123.12/x
  3. Step 3: Cross multiply
    2,007.22x = 2,769.92 × 1,123.12
  4. Step 4: Simplify right side
    2,007.22x = 3,110,952.55
  5. Step 5: Solve for x
    x = 3,110,952.55/2,007.22
  6. Step 6: Final answer
    x = 1,549.88

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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.