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Finding the Fourth Proportional to 2,761.78, 3,811.71 and 2,018.20

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Solution

The fourth proportional to 2,761.78, 3,811.71 and 2,018.20 is: 2,785.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.78 : 3,811.71 = 2,018.20 : x
  2. Step 2: Convert to fraction form
    2,761.78/3,811.71 = 2,018.20/x
  3. Step 3: Cross multiply
    2,761.78x = 3,811.71 × 2,018.20
  4. Step 4: Simplify right side
    2,761.78x = 7,692,793.12
  5. Step 5: Solve for x
    x = 7,692,793.12/2,761.78
  6. Step 6: Final answer
    x = 2,785.45

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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.