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Finding the Fourth Proportional to 2,049.67, 3,074.10 and 588.43

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Solution

The fourth proportional to 2,049.67, 3,074.10 and 588.43 is: 882.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.67 : 3,074.10 = 588.43 : x
  2. Step 2: Convert to fraction form
    2,049.67/3,074.10 = 588.43/x
  3. Step 3: Cross multiply
    2,049.67x = 3,074.10 × 588.43
  4. Step 4: Simplify right side
    2,049.67x = 1,808,892.66
  5. Step 5: Solve for x
    x = 1,808,892.66/2,049.67
  6. Step 6: Final answer
    x = 882.53

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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.