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Finding the Fourth Proportional to 2,247.35, 3,371.49 and 766.45

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Solution

The fourth proportional to 2,247.35, 3,371.49 and 766.45 is: 1,149.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.35 : 3,371.49 = 766.45 : x
  2. Step 2: Convert to fraction form
    2,247.35/3,371.49 = 766.45/x
  3. Step 3: Cross multiply
    2,247.35x = 3,371.49 × 766.45
  4. Step 4: Simplify right side
    2,247.35x = 2,584,082.72
  5. Step 5: Solve for x
    x = 2,584,082.72/2,247.35
  6. Step 6: Final answer
    x = 1,149.84

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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.