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Finding the Fourth Proportional to 2,049.68, 3,073.89 and 588.44

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Solution

The fourth proportional to 2,049.68, 3,073.89 and 588.44 is: 882.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.68 : 3,073.89 = 588.44 : x
  2. Step 2: Convert to fraction form
    2,049.68/3,073.89 = 588.44/x
  3. Step 3: Cross multiply
    2,049.68x = 3,073.89 × 588.44
  4. Step 4: Simplify right side
    2,049.68x = 1,808,799.83
  5. Step 5: Solve for x
    x = 1,808,799.83/2,049.68
  6. Step 6: Final answer
    x = 882.48

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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.