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Finding the Fourth Proportional to 2,660.24, 3,990.38 and 811.66

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Solution

The fourth proportional to 2,660.24, 3,990.38 and 811.66 is: 1,217.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.24 : 3,990.38 = 811.66 : x
  2. Step 2: Convert to fraction form
    2,660.24/3,990.38 = 811.66/x
  3. Step 3: Cross multiply
    2,660.24x = 3,990.38 × 811.66
  4. Step 4: Simplify right side
    2,660.24x = 3,238,831.83
  5. Step 5: Solve for x
    x = 3,238,831.83/2,660.24
  6. Step 6: Final answer
    x = 1,217.50

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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.