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Finding the Fourth Proportional to 2,132.46, 3,202.07 and 1,898.57

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Solution

The fourth proportional to 2,132.46, 3,202.07 and 1,898.57 is: 2,850.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.46 : 3,202.07 = 1,898.57 : x
  2. Step 2: Convert to fraction form
    2,132.46/3,202.07 = 1,898.57/x
  3. Step 3: Cross multiply
    2,132.46x = 3,202.07 × 1,898.57
  4. Step 4: Simplify right side
    2,132.46x = 6,079,352.55
  5. Step 5: Solve for x
    x = 6,079,352.55/2,132.46
  6. Step 6: Final answer
    x = 2,850.86

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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.