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Finding the Fourth Proportional to 2,655.48, 3,983.70 and 1,195.32

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Solution

The fourth proportional to 2,655.48, 3,983.70 and 1,195.32 is: 1,793.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.48 : 3,983.70 = 1,195.32 : x
  2. Step 2: Convert to fraction form
    2,655.48/3,983.70 = 1,195.32/x
  3. Step 3: Cross multiply
    2,655.48x = 3,983.70 × 1,195.32
  4. Step 4: Simplify right side
    2,655.48x = 4,761,796.28
  5. Step 5: Solve for x
    x = 4,761,796.28/2,655.48
  6. Step 6: Final answer
    x = 1,793.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.