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Finding the Fourth Proportional to 2,959.20, 4,438.66 and 767.92

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Solution

The fourth proportional to 2,959.20, 4,438.66 and 767.92 is: 1,151.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.20 : 4,438.66 = 767.92 : x
  2. Step 2: Convert to fraction form
    2,959.20/4,438.66 = 767.92/x
  3. Step 3: Cross multiply
    2,959.20x = 4,438.66 × 767.92
  4. Step 4: Simplify right side
    2,959.20x = 3,408,535.79
  5. Step 5: Solve for x
    x = 3,408,535.79/2,959.20
  6. Step 6: Final answer
    x = 1,151.84

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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.