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Finding the Fourth Proportional to 2,860.92, 4,291.92 and 1,129.56

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Solution

The fourth proportional to 2,860.92, 4,291.92 and 1,129.56 is: 1,694.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.92 : 4,291.92 = 1,129.56 : x
  2. Step 2: Convert to fraction form
    2,860.92/4,291.92 = 1,129.56/x
  3. Step 3: Cross multiply
    2,860.92x = 4,291.92 × 1,129.56
  4. Step 4: Simplify right side
    2,860.92x = 4,847,981.16
  5. Step 5: Solve for x
    x = 4,847,981.16/2,860.92
  6. Step 6: Final answer
    x = 1,694.55

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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.