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Finding the Fourth Proportional to 2,512.32, 3,751.94 and 2,144.18

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Solution

The fourth proportional to 2,512.32, 3,751.94 and 2,144.18 is: 3,202.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.32 : 3,751.94 = 2,144.18 : x
  2. Step 2: Convert to fraction form
    2,512.32/3,751.94 = 2,144.18/x
  3. Step 3: Cross multiply
    2,512.32x = 3,751.94 × 2,144.18
  4. Step 4: Simplify right side
    2,512.32x = 8,044,834.71
  5. Step 5: Solve for x
    x = 8,044,834.71/2,512.32
  6. Step 6: Final answer
    x = 3,202.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.