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Finding the Fourth Proportional to 1,449.62, 1,994.52 and 1,408.78

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Solution

The fourth proportional to 1,449.62, 1,994.52 and 1,408.78 is: 1,938.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.62 : 1,994.52 = 1,408.78 : x
  2. Step 2: Convert to fraction form
    1,449.62/1,994.52 = 1,408.78/x
  3. Step 3: Cross multiply
    1,449.62x = 1,994.52 × 1,408.78
  4. Step 4: Simplify right side
    1,449.62x = 2,809,839.89
  5. Step 5: Solve for x
    x = 2,809,839.89/1,449.62
  6. Step 6: Final answer
    x = 1,938.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.