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Finding the Fourth Proportional to 2,248.55, 3,102.87 and 1,253.64

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Solution

The fourth proportional to 2,248.55, 3,102.87 and 1,253.64 is: 1,729.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.55 : 3,102.87 = 1,253.64 : x
  2. Step 2: Convert to fraction form
    2,248.55/3,102.87 = 1,253.64/x
  3. Step 3: Cross multiply
    2,248.55x = 3,102.87 × 1,253.64
  4. Step 4: Simplify right side
    2,248.55x = 3,889,881.95
  5. Step 5: Solve for x
    x = 3,889,881.95/2,248.55
  6. Step 6: Final answer
    x = 1,729.96

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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.