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Finding the Fourth Proportional to 2,132.44, 3,198.38 and 572.56

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Solution

The fourth proportional to 2,132.44, 3,198.38 and 572.56 is: 858.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.44 : 3,198.38 = 572.56 : x
  2. Step 2: Convert to fraction form
    2,132.44/3,198.38 = 572.56/x
  3. Step 3: Cross multiply
    2,132.44x = 3,198.38 × 572.56
  4. Step 4: Simplify right side
    2,132.44x = 1,831,264.45
  5. Step 5: Solve for x
    x = 1,831,264.45/2,132.44
  6. Step 6: Final answer
    x = 858.76

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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.