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Finding the Fourth Proportional to 3,270.78, 4,513.49 and 1,778.71

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Solution

The fourth proportional to 3,270.78, 4,513.49 and 1,778.71 is: 2,454.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.78 : 4,513.49 = 1,778.71 : x
  2. Step 2: Convert to fraction form
    3,270.78/4,513.49 = 1,778.71/x
  3. Step 3: Cross multiply
    3,270.78x = 4,513.49 × 1,778.71
  4. Step 4: Simplify right side
    3,270.78x = 8,028,184.75
  5. Step 5: Solve for x
    x = 8,028,184.75/3,270.78
  6. Step 6: Final answer
    x = 2,454.52

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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.