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Finding the Fourth Proportional to 1,424.98, 2,147.20 and 1,267.84

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Solution

The fourth proportional to 1,424.98, 2,147.20 and 1,267.84 is: 1,910.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.98 : 2,147.20 = 1,267.84 : x
  2. Step 2: Convert to fraction form
    1,424.98/2,147.20 = 1,267.84/x
  3. Step 3: Cross multiply
    1,424.98x = 2,147.20 × 1,267.84
  4. Step 4: Simplify right side
    1,424.98x = 2,722,306.05
  5. Step 5: Solve for x
    x = 2,722,306.05/1,424.98
  6. Step 6: Final answer
    x = 1,910.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.