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Finding the Fourth Proportional to 2,785.78, 4,158.41 and 2,659.42

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Solution

The fourth proportional to 2,785.78, 4,158.41 and 2,659.42 is: 3,969.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.78 : 4,158.41 = 2,659.42 : x
  2. Step 2: Convert to fraction form
    2,785.78/4,158.41 = 2,659.42/x
  3. Step 3: Cross multiply
    2,785.78x = 4,158.41 × 2,659.42
  4. Step 4: Simplify right side
    2,785.78x = 11,058,958.72
  5. Step 5: Solve for x
    x = 11,058,958.72/2,785.78
  6. Step 6: Final answer
    x = 3,969.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.