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Finding the Fourth Proportional to 2,768.88, 4,149.90 and 1,612.20

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Solution

The fourth proportional to 2,768.88, 4,149.90 and 1,612.20 is: 2,416.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.88 : 4,149.90 = 1,612.20 : x
  2. Step 2: Convert to fraction form
    2,768.88/4,149.90 = 1,612.20/x
  3. Step 3: Cross multiply
    2,768.88x = 4,149.90 × 1,612.20
  4. Step 4: Simplify right side
    2,768.88x = 6,690,468.78
  5. Step 5: Solve for x
    x = 6,690,468.78/2,768.88
  6. Step 6: Final answer
    x = 2,416.31

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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.