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Finding the Fourth Proportional to 2,251.92, 3,108.95 and 1,508.34

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Solution

The fourth proportional to 2,251.92, 3,108.95 and 1,508.34 is: 2,082.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.92 : 3,108.95 = 1,508.34 : x
  2. Step 2: Convert to fraction form
    2,251.92/3,108.95 = 1,508.34/x
  3. Step 3: Cross multiply
    2,251.92x = 3,108.95 × 1,508.34
  4. Step 4: Simplify right side
    2,251.92x = 4,689,346.10
  5. Step 5: Solve for x
    x = 4,689,346.10/2,251.92
  6. Step 6: Final answer
    x = 2,082.38

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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.