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Finding the Fourth Proportional to 1,310.92, 1,956.77 and 1,138.78

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Solution

The fourth proportional to 1,310.92, 1,956.77 and 1,138.78 is: 1,699.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.92 : 1,956.77 = 1,138.78 : x
  2. Step 2: Convert to fraction form
    1,310.92/1,956.77 = 1,138.78/x
  3. Step 3: Cross multiply
    1,310.92x = 1,956.77 × 1,138.78
  4. Step 4: Simplify right side
    1,310.92x = 2,228,330.54
  5. Step 5: Solve for x
    x = 2,228,330.54/1,310.92
  6. Step 6: Final answer
    x = 1,699.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.