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Finding the Fourth Proportional to 1,780.24, 2,669.24 and 806.80

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Solution

The fourth proportional to 1,780.24, 2,669.24 and 806.80 is: 1,209.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.24 : 2,669.24 = 806.80 : x
  2. Step 2: Convert to fraction form
    1,780.24/2,669.24 = 806.80/x
  3. Step 3: Cross multiply
    1,780.24x = 2,669.24 × 806.80
  4. Step 4: Simplify right side
    1,780.24x = 2,153,542.83
  5. Step 5: Solve for x
    x = 2,153,542.83/1,780.24
  6. Step 6: Final answer
    x = 1,209.69

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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.