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Finding the Fourth Proportional to 2,512.30, 3,768.49 and 951.89

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Solution

The fourth proportional to 2,512.30, 3,768.49 and 951.89 is: 1,427.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.30 : 3,768.49 = 951.89 : x
  2. Step 2: Convert to fraction form
    2,512.30/3,768.49 = 951.89/x
  3. Step 3: Cross multiply
    2,512.30x = 3,768.49 × 951.89
  4. Step 4: Simplify right side
    2,512.30x = 3,587,170.02
  5. Step 5: Solve for x
    x = 3,587,170.02/2,512.30
  6. Step 6: Final answer
    x = 1,427.84

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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.