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Finding the Fourth Proportional to 2,007.75, 2,772.42 and 1,262.97

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Solution

The fourth proportional to 2,007.75, 2,772.42 and 1,262.97 is: 1,743.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.75 : 2,772.42 = 1,262.97 : x
  2. Step 2: Convert to fraction form
    2,007.75/2,772.42 = 1,262.97/x
  3. Step 3: Cross multiply
    2,007.75x = 2,772.42 × 1,262.97
  4. Step 4: Simplify right side
    2,007.75x = 3,501,483.29
  5. Step 5: Solve for x
    x = 3,501,483.29/2,007.75
  6. Step 6: Final answer
    x = 1,743.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.