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Finding the Fourth Proportional to 2,007.67, 2,770.32 and 1,123.29

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Solution

The fourth proportional to 2,007.67, 2,770.32 and 1,123.29 is: 1,549.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.67 : 2,770.32 = 1,123.29 : x
  2. Step 2: Convert to fraction form
    2,007.67/2,770.32 = 1,123.29/x
  3. Step 3: Cross multiply
    2,007.67x = 2,770.32 × 1,123.29
  4. Step 4: Simplify right side
    2,007.67x = 3,111,872.75
  5. Step 5: Solve for x
    x = 3,111,872.75/2,007.67
  6. Step 6: Final answer
    x = 1,549.99

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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.