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Finding the Fourth Proportional to 2,542.24, 3,811.85 and 786.72

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Solution

The fourth proportional to 2,542.24, 3,811.85 and 786.72 is: 1,179.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.24 : 3,811.85 = 786.72 : x
  2. Step 2: Convert to fraction form
    2,542.24/3,811.85 = 786.72/x
  3. Step 3: Cross multiply
    2,542.24x = 3,811.85 × 786.72
  4. Step 4: Simplify right side
    2,542.24x = 2,998,868.16
  5. Step 5: Solve for x
    x = 2,998,868.16/2,542.24
  6. Step 6: Final answer
    x = 1,179.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.