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Finding the Fourth Proportional to 2,011.38, 2,777.31 and 1,348.80

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Solution

The fourth proportional to 2,011.38, 2,777.31 and 1,348.80 is: 1,862.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.38 : 2,777.31 = 1,348.80 : x
  2. Step 2: Convert to fraction form
    2,011.38/2,777.31 = 1,348.80/x
  3. Step 3: Cross multiply
    2,011.38x = 2,777.31 × 1,348.80
  4. Step 4: Simplify right side
    2,011.38x = 3,746,035.73
  5. Step 5: Solve for x
    x = 3,746,035.73/2,011.38
  6. Step 6: Final answer
    x = 1,862.42

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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.