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Finding the Fourth Proportional to 1,793.60, 2,476.32 and 1,616.48

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Solution

The fourth proportional to 1,793.60, 2,476.32 and 1,616.48 is: 2,231.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,793.60 : 2,476.32 = 1,616.48 : x
  2. Step 2: Convert to fraction form
    1,793.60/2,476.32 = 1,616.48/x
  3. Step 3: Cross multiply
    1,793.60x = 2,476.32 × 1,616.48
  4. Step 4: Simplify right side
    1,793.60x = 4,002,921.75
  5. Step 5: Solve for x
    x = 4,002,921.75/1,793.60
  6. Step 6: Final answer
    x = 2,231.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.