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Finding the Fourth Proportional to 2,287.70, 3,431.59 and 727.95

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Solution

The fourth proportional to 2,287.70, 3,431.59 and 727.95 is: 1,091.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.70 : 3,431.59 = 727.95 : x
  2. Step 2: Convert to fraction form
    2,287.70/3,431.59 = 727.95/x
  3. Step 3: Cross multiply
    2,287.70x = 3,431.59 × 727.95
  4. Step 4: Simplify right side
    2,287.70x = 2,498,011.25
  5. Step 5: Solve for x
    x = 2,498,011.25/2,287.70
  6. Step 6: Final answer
    x = 1,091.93

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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.