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Finding the Fourth Proportional to 2,049.72, 3,073.86 and 588.58

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Solution

The fourth proportional to 2,049.72, 3,073.86 and 588.58 is: 882.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.72 : 3,073.86 = 588.58 : x
  2. Step 2: Convert to fraction form
    2,049.72/3,073.86 = 588.58/x
  3. Step 3: Cross multiply
    2,049.72x = 3,073.86 × 588.58
  4. Step 4: Simplify right side
    2,049.72x = 1,809,204.83
  5. Step 5: Solve for x
    x = 1,809,204.83/2,049.72
  6. Step 6: Final answer
    x = 882.66

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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.