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Finding the Fourth Proportional to 2,752.92, 4,128.84 and 805.14

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Solution

The fourth proportional to 2,752.92, 4,128.84 and 805.14 is: 1,207.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.92 : 4,128.84 = 805.14 : x
  2. Step 2: Convert to fraction form
    2,752.92/4,128.84 = 805.14/x
  3. Step 3: Cross multiply
    2,752.92x = 4,128.84 × 805.14
  4. Step 4: Simplify right side
    2,752.92x = 3,324,294.24
  5. Step 5: Solve for x
    x = 3,324,294.24/2,752.92
  6. Step 6: Final answer
    x = 1,207.55

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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.