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Finding the Fourth Proportional to 2,778.77, 3,825.96 and 2,358.25

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Solution

The fourth proportional to 2,778.77, 3,825.96 and 2,358.25 is: 3,246.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.77 : 3,825.96 = 2,358.25 : x
  2. Step 2: Convert to fraction form
    2,778.77/3,825.96 = 2,358.25/x
  3. Step 3: Cross multiply
    2,778.77x = 3,825.96 × 2,358.25
  4. Step 4: Simplify right side
    2,778.77x = 9,022,570.17
  5. Step 5: Solve for x
    x = 9,022,570.17/2,778.77
  6. Step 6: Final answer
    x = 3,246.97

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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.