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Finding the Fourth Proportional to 2,720.91, 4,078.08 and 1,894.71

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Solution

The fourth proportional to 2,720.91, 4,078.08 and 1,894.71 is: 2,839.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.91 : 4,078.08 = 1,894.71 : x
  2. Step 2: Convert to fraction form
    2,720.91/4,078.08 = 1,894.71/x
  3. Step 3: Cross multiply
    2,720.91x = 4,078.08 × 1,894.71
  4. Step 4: Simplify right side
    2,720.91x = 7,726,778.96
  5. Step 5: Solve for x
    x = 7,726,778.96/2,720.91
  6. Step 6: Final answer
    x = 2,839.78

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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.