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Finding the Fourth Proportional to 2,287.81, 3,431.74 and 727.78

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Solution

The fourth proportional to 2,287.81, 3,431.74 and 727.78 is: 1,091.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.81 : 3,431.74 = 727.78 : x
  2. Step 2: Convert to fraction form
    2,287.81/3,431.74 = 727.78/x
  3. Step 3: Cross multiply
    2,287.81x = 3,431.74 × 727.78
  4. Step 4: Simplify right side
    2,287.81x = 2,497,551.74
  5. Step 5: Solve for x
    x = 2,497,551.74/2,287.81
  6. Step 6: Final answer
    x = 1,091.68

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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.