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Finding the Fourth Proportional to 3,306.42, 4,959.20 and 1,920.50

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Solution

The fourth proportional to 3,306.42, 4,959.20 and 1,920.50 is: 2,880.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306.42 : 4,959.20 = 1,920.50 : x
  2. Step 2: Convert to fraction form
    3,306.42/4,959.20 = 1,920.50/x
  3. Step 3: Cross multiply
    3,306.42x = 4,959.20 × 1,920.50
  4. Step 4: Simplify right side
    3,306.42x = 9,524,143.60
  5. Step 5: Solve for x
    x = 9,524,143.60/3,306.42
  6. Step 6: Final answer
    x = 2,880.50

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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.