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Finding the Fourth Proportional to 2,007.27, 2,770.06 and 1,123.05

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Solution

The fourth proportional to 2,007.27, 2,770.06 and 1,123.05 is: 1,549.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.27 : 2,770.06 = 1,123.05 : x
  2. Step 2: Convert to fraction form
    2,007.27/2,770.06 = 1,123.05/x
  3. Step 3: Cross multiply
    2,007.27x = 2,770.06 × 1,123.05
  4. Step 4: Simplify right side
    2,007.27x = 3,110,915.88
  5. Step 5: Solve for x
    x = 3,110,915.88/2,007.27
  6. Step 6: Final answer
    x = 1,549.82

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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.