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Finding the Fourth Proportional to 2,276.68, 3,143.10 and 1,393

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Solution

The fourth proportional to 2,276.68, 3,143.10 and 1,393 is: 1,923.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.68 : 3,143.10 = 1,393 : x
  2. Step 2: Convert to fraction form
    2,276.68/3,143.10 = 1,393/x
  3. Step 3: Cross multiply
    2,276.68x = 3,143.10 × 1,393
  4. Step 4: Simplify right side
    2,276.68x = 4,378,338.30
  5. Step 5: Solve for x
    x = 4,378,338.30/2,276.68
  6. Step 6: Final answer
    x = 1,923.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.