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Finding the Fourth Proportional to 2,216.46, 3,320.37 and 980.94

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Solution

The fourth proportional to 2,216.46, 3,320.37 and 980.94 is: 1,469.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.46 : 3,320.37 = 980.94 : x
  2. Step 2: Convert to fraction form
    2,216.46/3,320.37 = 980.94/x
  3. Step 3: Cross multiply
    2,216.46x = 3,320.37 × 980.94
  4. Step 4: Simplify right side
    2,216.46x = 3,257,083.75
  5. Step 5: Solve for x
    x = 3,257,083.75/2,216.46
  6. Step 6: Final answer
    x = 1,469.50

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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.