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Finding the Fourth Proportional to 2,765.68, 4,150.52 and 2,074.21

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Solution

The fourth proportional to 2,765.68, 4,150.52 and 2,074.21 is: 3,112.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.68 : 4,150.52 = 2,074.21 : x
  2. Step 2: Convert to fraction form
    2,765.68/4,150.52 = 2,074.21/x
  3. Step 3: Cross multiply
    2,765.68x = 4,150.52 × 2,074.21
  4. Step 4: Simplify right side
    2,765.68x = 8,609,044.90
  5. Step 5: Solve for x
    x = 8,609,044.90/2,765.68
  6. Step 6: Final answer
    x = 3,112.82

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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.