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Finding the Fourth Proportional to 2,867.78, 3,959.03 and 2,228.30

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Solution

The fourth proportional to 2,867.78, 3,959.03 and 2,228.30 is: 3,076.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.78 : 3,959.03 = 2,228.30 : x
  2. Step 2: Convert to fraction form
    2,867.78/3,959.03 = 2,228.30/x
  3. Step 3: Cross multiply
    2,867.78x = 3,959.03 × 2,228.30
  4. Step 4: Simplify right side
    2,867.78x = 8,821,875.61
  5. Step 5: Solve for x
    x = 8,821,875.61/2,867.78
  6. Step 6: Final answer
    x = 3,076.21

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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.