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Finding the Fourth Proportional to 2,843.65, 4,265.61 and 763.84

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Solution

The fourth proportional to 2,843.65, 4,265.61 and 763.84 is: 1,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.65 : 4,265.61 = 763.84 : x
  2. Step 2: Convert to fraction form
    2,843.65/4,265.61 = 763.84/x
  3. Step 3: Cross multiply
    2,843.65x = 4,265.61 × 763.84
  4. Step 4: Simplify right side
    2,843.65x = 3,258,243.54
  5. Step 5: Solve for x
    x = 3,258,243.54/2,843.65
  6. Step 6: Final answer
    x = 1,145.80

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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.