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Finding the Fourth Proportional to 2,248.31, 3,103.07 and 1,409.74

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Solution

The fourth proportional to 2,248.31, 3,103.07 and 1,409.74 is: 1,945.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.31 : 3,103.07 = 1,409.74 : x
  2. Step 2: Convert to fraction form
    2,248.31/3,103.07 = 1,409.74/x
  3. Step 3: Cross multiply
    2,248.31x = 3,103.07 × 1,409.74
  4. Step 4: Simplify right side
    2,248.31x = 4,374,512.38
  5. Step 5: Solve for x
    x = 4,374,512.38/2,248.31
  6. Step 6: Final answer
    x = 1,945.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.