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Finding the Fourth Proportional to 2,722.78, 3,758.05 and 1,660.90

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Solution

The fourth proportional to 2,722.78, 3,758.05 and 1,660.90 is: 2,292.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.78 : 3,758.05 = 1,660.90 : x
  2. Step 2: Convert to fraction form
    2,722.78/3,758.05 = 1,660.90/x
  3. Step 3: Cross multiply
    2,722.78x = 3,758.05 × 1,660.90
  4. Step 4: Simplify right side
    2,722.78x = 6,241,745.25
  5. Step 5: Solve for x
    x = 6,241,745.25/2,722.78
  6. Step 6: Final answer
    x = 2,292.42

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