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Finding the Fourth Proportional to 1,993, 2,750.42 and 1,364.85

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Solution

The fourth proportional to 1,993, 2,750.42 and 1,364.85 is: 1,883.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993 : 2,750.42 = 1,364.85 : x
  2. Step 2: Convert to fraction form
    1,993/2,750.42 = 1,364.85/x
  3. Step 3: Cross multiply
    1,993x = 2,750.42 × 1,364.85
  4. Step 4: Simplify right side
    1,993x = 3,753,910.74
  5. Step 5: Solve for x
    x = 3,753,910.74/1,993
  6. Step 6: Final answer
    x = 1,883.55

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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.