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Finding the Fourth Proportional to 2,839.54, 4,259 and 759.72

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Solution

The fourth proportional to 2,839.54, 4,259 and 759.72 is: 1,139.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.54 : 4,259 = 759.72 : x
  2. Step 2: Convert to fraction form
    2,839.54/4,259 = 759.72/x
  3. Step 3: Cross multiply
    2,839.54x = 4,259 × 759.72
  4. Step 4: Simplify right side
    2,839.54x = 3,235,647.48
  5. Step 5: Solve for x
    x = 3,235,647.48/2,839.54
  6. Step 6: Final answer
    x = 1,139.50

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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.