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Finding the Fourth Proportional to 2,801.41, 4,199.49 and 951.23

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Solution

The fourth proportional to 2,801.41, 4,199.49 and 951.23 is: 1,425.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.41 : 4,199.49 = 951.23 : x
  2. Step 2: Convert to fraction form
    2,801.41/4,199.49 = 951.23/x
  3. Step 3: Cross multiply
    2,801.41x = 4,199.49 × 951.23
  4. Step 4: Simplify right side
    2,801.41x = 3,994,680.87
  5. Step 5: Solve for x
    x = 3,994,680.87/2,801.41
  6. Step 6: Final answer
    x = 1,425.95

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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.