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Finding the Fourth Proportional to 2,247.54, 3,101.52 and 1,252.80

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Solution

The fourth proportional to 2,247.54, 3,101.52 and 1,252.80 is: 1,728.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.54 : 3,101.52 = 1,252.80 : x
  2. Step 2: Convert to fraction form
    2,247.54/3,101.52 = 1,252.80/x
  3. Step 3: Cross multiply
    2,247.54x = 3,101.52 × 1,252.80
  4. Step 4: Simplify right side
    2,247.54x = 3,885,584.26
  5. Step 5: Solve for x
    x = 3,885,584.26/2,247.54
  6. Step 6: Final answer
    x = 1,728.82

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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.