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Finding the Fourth Proportional to 2,248.97, 3,102.36 and 1,409.49

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Solution

The fourth proportional to 2,248.97, 3,102.36 and 1,409.49 is: 1,944.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.97 : 3,102.36 = 1,409.49 : x
  2. Step 2: Convert to fraction form
    2,248.97/3,102.36 = 1,409.49/x
  3. Step 3: Cross multiply
    2,248.97x = 3,102.36 × 1,409.49
  4. Step 4: Simplify right side
    2,248.97x = 4,372,745.40
  5. Step 5: Solve for x
    x = 4,372,745.40/2,248.97
  6. Step 6: Final answer
    x = 1,944.33

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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.