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Finding the Fourth Proportional to 2,753.22, 3,793.50 and 1,867.50

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Solution

The fourth proportional to 2,753.22, 3,793.50 and 1,867.50 is: 2,573.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.22 : 3,793.50 = 1,867.50 : x
  2. Step 2: Convert to fraction form
    2,753.22/3,793.50 = 1,867.50/x
  3. Step 3: Cross multiply
    2,753.22x = 3,793.50 × 1,867.50
  4. Step 4: Simplify right side
    2,753.22x = 7,084,361.25
  5. Step 5: Solve for x
    x = 7,084,361.25/2,753.22
  6. Step 6: Final answer
    x = 2,573.12

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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.