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Finding the Fourth Proportional to 3,271.78, 4,906.86 and 963.28

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Solution

The fourth proportional to 3,271.78, 4,906.86 and 963.28 is: 1,444.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.78 : 4,906.86 = 963.28 : x
  2. Step 2: Convert to fraction form
    3,271.78/4,906.86 = 963.28/x
  3. Step 3: Cross multiply
    3,271.78x = 4,906.86 × 963.28
  4. Step 4: Simplify right side
    3,271.78x = 4,726,680.10
  5. Step 5: Solve for x
    x = 4,726,680.10/3,271.78
  6. Step 6: Final answer
    x = 1,444.68

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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.