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Finding the Fourth Proportional to 2,759.54, 4,134.06 and 2,140.20

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Solution

The fourth proportional to 2,759.54, 4,134.06 and 2,140.20 is: 3,206.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.54 : 4,134.06 = 2,140.20 : x
  2. Step 2: Convert to fraction form
    2,759.54/4,134.06 = 2,140.20/x
  3. Step 3: Cross multiply
    2,759.54x = 4,134.06 × 2,140.20
  4. Step 4: Simplify right side
    2,759.54x = 8,847,715.21
  5. Step 5: Solve for x
    x = 8,847,715.21/2,759.54
  6. Step 6: Final answer
    x = 3,206.23

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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.