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Finding the Fourth Proportional to 2,758.53, 4,139.67 and 1,027.16

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Solution

The fourth proportional to 2,758.53, 4,139.67 and 1,027.16 is: 1,541.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.53 : 4,139.67 = 1,027.16 : x
  2. Step 2: Convert to fraction form
    2,758.53/4,139.67 = 1,027.16/x
  3. Step 3: Cross multiply
    2,758.53x = 4,139.67 × 1,027.16
  4. Step 4: Simplify right side
    2,758.53x = 4,252,103.44
  5. Step 5: Solve for x
    x = 4,252,103.44/2,758.53
  6. Step 6: Final answer
    x = 1,541.44

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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.