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Finding the Fourth Proportional to 2,248.94, 3,103.55 and 1,409.97

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Solution

The fourth proportional to 2,248.94, 3,103.55 and 1,409.97 is: 1,945.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.94 : 3,103.55 = 1,409.97 : x
  2. Step 2: Convert to fraction form
    2,248.94/3,103.55 = 1,409.97/x
  3. Step 3: Cross multiply
    2,248.94x = 3,103.55 × 1,409.97
  4. Step 4: Simplify right side
    2,248.94x = 4,375,905.34
  5. Step 5: Solve for x
    x = 4,375,905.34/2,248.94
  6. Step 6: Final answer
    x = 1,945.77

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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.