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Finding the Fourth Proportional to 2,593.42, 3,890.38 and 949.57

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Solution

The fourth proportional to 2,593.42, 3,890.38 and 949.57 is: 1,424.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.42 : 3,890.38 = 949.57 : x
  2. Step 2: Convert to fraction form
    2,593.42/3,890.38 = 949.57/x
  3. Step 3: Cross multiply
    2,593.42x = 3,890.38 × 949.57
  4. Step 4: Simplify right side
    2,593.42x = 3,694,199.70
  5. Step 5: Solve for x
    x = 3,694,199.70/2,593.42
  6. Step 6: Final answer
    x = 1,424.45

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.