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Finding the Fourth Proportional to 2,049.43, 3,074.67 and 588.69

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Solution

The fourth proportional to 2,049.43, 3,074.67 and 588.69 is: 883.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.43 : 3,074.67 = 588.69 : x
  2. Step 2: Convert to fraction form
    2,049.43/3,074.67 = 588.69/x
  3. Step 3: Cross multiply
    2,049.43x = 3,074.67 × 588.69
  4. Step 4: Simplify right side
    2,049.43x = 1,810,027.48
  5. Step 5: Solve for x
    x = 1,810,027.48/2,049.43
  6. Step 6: Final answer
    x = 883.19

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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.