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Finding the Fourth Proportional to 2,311.92, 3,467.88 and 772.92

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Solution

The fourth proportional to 2,311.92, 3,467.88 and 772.92 is: 1,159.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.92 : 3,467.88 = 772.92 : x
  2. Step 2: Convert to fraction form
    2,311.92/3,467.88 = 772.92/x
  3. Step 3: Cross multiply
    2,311.92x = 3,467.88 × 772.92
  4. Step 4: Simplify right side
    2,311.92x = 2,680,393.81
  5. Step 5: Solve for x
    x = 2,680,393.81/2,311.92
  6. Step 6: Final answer
    x = 1,159.38

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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.