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Finding the Fourth Proportional to 2,278.59, 3,414.29 and 1,659.44

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Solution

The fourth proportional to 2,278.59, 3,414.29 and 1,659.44 is: 2,486.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.59 : 3,414.29 = 1,659.44 : x
  2. Step 2: Convert to fraction form
    2,278.59/3,414.29 = 1,659.44/x
  3. Step 3: Cross multiply
    2,278.59x = 3,414.29 × 1,659.44
  4. Step 4: Simplify right side
    2,278.59x = 5,665,809.64
  5. Step 5: Solve for x
    x = 5,665,809.64/2,278.59
  6. Step 6: Final answer
    x = 2,486.55

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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.