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Finding the Fourth Proportional to 2,934.31, 4,401.47 and 986.52

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Solution

The fourth proportional to 2,934.31, 4,401.47 and 986.52 is: 1,479.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.31 : 4,401.47 = 986.52 : x
  2. Step 2: Convert to fraction form
    2,934.31/4,401.47 = 986.52/x
  3. Step 3: Cross multiply
    2,934.31x = 4,401.47 × 986.52
  4. Step 4: Simplify right side
    2,934.31x = 4,342,138.18
  5. Step 5: Solve for x
    x = 4,342,138.18/2,934.31
  6. Step 6: Final answer
    x = 1,479.78

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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.