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Finding the Fourth Proportional to 2,593.14, 3,889.13 and 744.24

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Solution

The fourth proportional to 2,593.14, 3,889.13 and 744.24 is: 1,116.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.14 : 3,889.13 = 744.24 : x
  2. Step 2: Convert to fraction form
    2,593.14/3,889.13 = 744.24/x
  3. Step 3: Cross multiply
    2,593.14x = 3,889.13 × 744.24
  4. Step 4: Simplify right side
    2,593.14x = 2,894,446.11
  5. Step 5: Solve for x
    x = 2,894,446.11/2,593.14
  6. Step 6: Final answer
    x = 1,116.19

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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.