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Finding the Fourth Proportional to 2,044.69, 3,065.92 and 638.72

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Solution

The fourth proportional to 2,044.69, 3,065.92 and 638.72 is: 957.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.69 : 3,065.92 = 638.72 : x
  2. Step 2: Convert to fraction form
    2,044.69/3,065.92 = 638.72/x
  3. Step 3: Cross multiply
    2,044.69x = 3,065.92 × 638.72
  4. Step 4: Simplify right side
    2,044.69x = 1,958,270.49
  5. Step 5: Solve for x
    x = 1,958,270.49/2,044.69
  6. Step 6: Final answer
    x = 957.73

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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.