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Finding the Fourth Proportional to 2,759.30, 4,138.05 and 1,027.70

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Solution

The fourth proportional to 2,759.30, 4,138.05 and 1,027.70 is: 1,541.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.30 : 4,138.05 = 1,027.70 : x
  2. Step 2: Convert to fraction form
    2,759.30/4,138.05 = 1,027.70/x
  3. Step 3: Cross multiply
    2,759.30x = 4,138.05 × 1,027.70
  4. Step 4: Simplify right side
    2,759.30x = 4,252,673.99
  5. Step 5: Solve for x
    x = 4,252,673.99/2,759.30
  6. Step 6: Final answer
    x = 1,541.21

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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.