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Finding the Fourth Proportional to 3,279.50, 4,919.26 and 971

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Solution

The fourth proportional to 3,279.50, 4,919.26 and 971 is: 1,456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279.50 : 4,919.26 = 971 : x
  2. Step 2: Convert to fraction form
    3,279.50/4,919.26 = 971/x
  3. Step 3: Cross multiply
    3,279.50x = 4,919.26 × 971
  4. Step 4: Simplify right side
    3,279.50x = 4,776,601.46
  5. Step 5: Solve for x
    x = 4,776,601.46/3,279.50
  6. Step 6: Final answer
    x = 1,456.50

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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.