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Finding the Fourth Proportional to 2,665.74, 3,998.61 and 717.99

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Solution

The fourth proportional to 2,665.74, 3,998.61 and 717.99 is: 1,076.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.74 : 3,998.61 = 717.99 : x
  2. Step 2: Convert to fraction form
    2,665.74/3,998.61 = 717.99/x
  3. Step 3: Cross multiply
    2,665.74x = 3,998.61 × 717.99
  4. Step 4: Simplify right side
    2,665.74x = 2,870,961.99
  5. Step 5: Solve for x
    x = 2,870,961.99/2,665.74
  6. Step 6: Final answer
    x = 1,076.99

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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.