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Finding the Fourth Proportional to 3,271.50, 4,908.06 and 963

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Solution

The fourth proportional to 3,271.50, 4,908.06 and 963 is: 1,444.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.50 : 4,908.06 = 963 : x
  2. Step 2: Convert to fraction form
    3,271.50/4,908.06 = 963/x
  3. Step 3: Cross multiply
    3,271.50x = 4,908.06 × 963
  4. Step 4: Simplify right side
    3,271.50x = 4,726,461.78
  5. Step 5: Solve for x
    x = 4,726,461.78/3,271.50
  6. Step 6: Final answer
    x = 1,444.74

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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.