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Finding the Fourth Proportional to 3,011.50, 4,517.52 and 959.50

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Solution

The fourth proportional to 3,011.50, 4,517.52 and 959.50 is: 1,439.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.50 : 4,517.52 = 959.50 : x
  2. Step 2: Convert to fraction form
    3,011.50/4,517.52 = 959.50/x
  3. Step 3: Cross multiply
    3,011.50x = 4,517.52 × 959.50
  4. Step 4: Simplify right side
    3,011.50x = 4,334,560.44
  5. Step 5: Solve for x
    x = 4,334,560.44/3,011.50
  6. Step 6: Final answer
    x = 1,439.34

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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.