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Finding the Fourth Proportional to 2,991.84, 4,129.28 and 2,493.68

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Solution

The fourth proportional to 2,991.84, 4,129.28 and 2,493.68 is: 3,441.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.84 : 4,129.28 = 2,493.68 : x
  2. Step 2: Convert to fraction form
    2,991.84/4,129.28 = 2,493.68/x
  3. Step 3: Cross multiply
    2,991.84x = 4,129.28 × 2,493.68
  4. Step 4: Simplify right side
    2,991.84x = 10,297,102.95
  5. Step 5: Solve for x
    x = 10,297,102.95/2,991.84
  6. Step 6: Final answer
    x = 3,441.73

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1.5x scale

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.