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Finding the Fourth Proportional to 2,758.06, 4,138.17 and 2,177.02

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Solution

The fourth proportional to 2,758.06, 4,138.17 and 2,177.02 is: 3,266.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.06 : 4,138.17 = 2,177.02 : x
  2. Step 2: Convert to fraction form
    2,758.06/4,138.17 = 2,177.02/x
  3. Step 3: Cross multiply
    2,758.06x = 4,138.17 × 2,177.02
  4. Step 4: Simplify right side
    2,758.06x = 9,008,878.85
  5. Step 5: Solve for x
    x = 9,008,878.85/2,758.06
  6. Step 6: Final answer
    x = 3,266.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.