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Finding the Fourth Proportional to 1,452.12, 2,003.78 and 862.56

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Solution

The fourth proportional to 1,452.12, 2,003.78 and 862.56 is: 1,190.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.12 : 2,003.78 = 862.56 : x
  2. Step 2: Convert to fraction form
    1,452.12/2,003.78 = 862.56/x
  3. Step 3: Cross multiply
    1,452.12x = 2,003.78 × 862.56
  4. Step 4: Simplify right side
    1,452.12x = 1,728,380.48
  5. Step 5: Solve for x
    x = 1,728,380.48/1,452.12
  6. Step 6: Final answer
    x = 1,190.25

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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.