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Finding the Fourth Proportional to 1,766.56, 2,438.73 and 1,103.78

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Solution

The fourth proportional to 1,766.56, 2,438.73 and 1,103.78 is: 1,523.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.56 : 2,438.73 = 1,103.78 : x
  2. Step 2: Convert to fraction form
    1,766.56/2,438.73 = 1,103.78/x
  3. Step 3: Cross multiply
    1,766.56x = 2,438.73 × 1,103.78
  4. Step 4: Simplify right side
    1,766.56x = 2,691,821.40
  5. Step 5: Solve for x
    x = 2,691,821.40/1,766.56
  6. Step 6: Final answer
    x = 1,523.76

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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.