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Finding the Fourth Proportional to 2,248.38, 3,101.64 and 1,503.34

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Solution

The fourth proportional to 2,248.38, 3,101.64 and 1,503.34 is: 2,073.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.38 : 3,101.64 = 1,503.34 : x
  2. Step 2: Convert to fraction form
    2,248.38/3,101.64 = 1,503.34/x
  3. Step 3: Cross multiply
    2,248.38x = 3,101.64 × 1,503.34
  4. Step 4: Simplify right side
    2,248.38x = 4,662,819.48
  5. Step 5: Solve for x
    x = 4,662,819.48/2,248.38
  6. Step 6: Final answer
    x = 2,073.86

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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.