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Finding the Fourth Proportional to 2,652.92, 3,979.28 and 805.32

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Solution

The fourth proportional to 2,652.92, 3,979.28 and 805.32 is: 1,207.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.92 : 3,979.28 = 805.32 : x
  2. Step 2: Convert to fraction form
    2,652.92/3,979.28 = 805.32/x
  3. Step 3: Cross multiply
    2,652.92x = 3,979.28 × 805.32
  4. Step 4: Simplify right side
    2,652.92x = 3,204,593.77
  5. Step 5: Solve for x
    x = 3,204,593.77/2,652.92
  6. Step 6: Final answer
    x = 1,207.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.