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Finding the Fourth Proportional to 1,778.76, 2,668.37 and 682.97

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Solution

The fourth proportional to 1,778.76, 2,668.37 and 682.97 is: 1,024.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.76 : 2,668.37 = 682.97 : x
  2. Step 2: Convert to fraction form
    1,778.76/2,668.37 = 682.97/x
  3. Step 3: Cross multiply
    1,778.76x = 2,668.37 × 682.97
  4. Step 4: Simplify right side
    1,778.76x = 1,822,399.90
  5. Step 5: Solve for x
    x = 1,822,399.90/1,778.76
  6. Step 6: Final answer
    x = 1,024.53

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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.