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Finding the Fourth Proportional to 2,584.50, 3,883.17 and 1,660.50

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Solution

The fourth proportional to 2,584.50, 3,883.17 and 1,660.50 is: 2,494.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.50 : 3,883.17 = 1,660.50 : x
  2. Step 2: Convert to fraction form
    2,584.50/3,883.17 = 1,660.50/x
  3. Step 3: Cross multiply
    2,584.50x = 3,883.17 × 1,660.50
  4. Step 4: Simplify right side
    2,584.50x = 6,448,003.79
  5. Step 5: Solve for x
    x = 6,448,003.79/2,584.50
  6. Step 6: Final answer
    x = 2,494.87

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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.