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Finding the Fourth Proportional to 2,049.15, 3,073.73 and 588.42

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Solution

The fourth proportional to 2,049.15, 3,073.73 and 588.42 is: 882.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.15 : 3,073.73 = 588.42 : x
  2. Step 2: Convert to fraction form
    2,049.15/3,073.73 = 588.42/x
  3. Step 3: Cross multiply
    2,049.15x = 3,073.73 × 588.42
  4. Step 4: Simplify right side
    2,049.15x = 1,808,641.26
  5. Step 5: Solve for x
    x = 1,808,641.26/2,049.15
  6. Step 6: Final answer
    x = 882.63

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