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Finding the Fourth Proportional to 2,247.66, 3,372.16 and 1,152.80

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Solution

The fourth proportional to 2,247.66, 3,372.16 and 1,152.80 is: 1,729.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.66 : 3,372.16 = 1,152.80 : x
  2. Step 2: Convert to fraction form
    2,247.66/3,372.16 = 1,152.80/x
  3. Step 3: Cross multiply
    2,247.66x = 3,372.16 × 1,152.80
  4. Step 4: Simplify right side
    2,247.66x = 3,887,426.05
  5. Step 5: Solve for x
    x = 3,887,426.05/2,247.66
  6. Step 6: Final answer
    x = 1,729.54

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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.