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Finding the Fourth Proportional to 2,512.32, 3,768.48 and 2,100.48

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Solution

The fourth proportional to 2,512.32, 3,768.48 and 2,100.48 is: 3,150.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.32 : 3,768.48 = 2,100.48 : x
  2. Step 2: Convert to fraction form
    2,512.32/3,768.48 = 2,100.48/x
  3. Step 3: Cross multiply
    2,512.32x = 3,768.48 × 2,100.48
  4. Step 4: Simplify right side
    2,512.32x = 7,915,616.87
  5. Step 5: Solve for x
    x = 7,915,616.87/2,512.32
  6. Step 6: Final answer
    x = 3,150.72

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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.