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Finding the Fourth Proportional to 2,759.50, 3,809.52 and 2,128.61

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Solution

The fourth proportional to 2,759.50, 3,809.52 and 2,128.61 is: 2,938.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.50 : 3,809.52 = 2,128.61 : x
  2. Step 2: Convert to fraction form
    2,759.50/3,809.52 = 2,128.61/x
  3. Step 3: Cross multiply
    2,759.50x = 3,809.52 × 2,128.61
  4. Step 4: Simplify right side
    2,759.50x = 8,108,990.32
  5. Step 5: Solve for x
    x = 8,108,990.32/2,759.50
  6. Step 6: Final answer
    x = 2,938.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.