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Finding the Fourth Proportional to 2,007.32, 2,769.80 and 1,123.09

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Solution

The fourth proportional to 2,007.32, 2,769.80 and 1,123.09 is: 1,549.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.32 : 2,769.80 = 1,123.09 : x
  2. Step 2: Convert to fraction form
    2,007.32/2,769.80 = 1,123.09/x
  3. Step 3: Cross multiply
    2,007.32x = 2,769.80 × 1,123.09
  4. Step 4: Simplify right side
    2,007.32x = 3,110,722.14
  5. Step 5: Solve for x
    x = 3,110,722.14/2,007.32
  6. Step 6: Final answer
    x = 1,549.69

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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.