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Finding the Fourth Proportional to 2,635.74, 3,958.47 and 2,091.42

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Solution

The fourth proportional to 2,635.74, 3,958.47 and 2,091.42 is: 3,140.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.74 : 3,958.47 = 2,091.42 : x
  2. Step 2: Convert to fraction form
    2,635.74/3,958.47 = 2,091.42/x
  3. Step 3: Cross multiply
    2,635.74x = 3,958.47 × 2,091.42
  4. Step 4: Simplify right side
    2,635.74x = 8,278,823.33
  5. Step 5: Solve for x
    x = 8,278,823.33/2,635.74
  6. Step 6: Final answer
    x = 3,140.99

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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.