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Finding the Fourth Proportional to 2,179.50, 3,270.24 and 880.74

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Solution

The fourth proportional to 2,179.50, 3,270.24 and 880.74 is: 1,321.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.50 : 3,270.24 = 880.74 : x
  2. Step 2: Convert to fraction form
    2,179.50/3,270.24 = 880.74/x
  3. Step 3: Cross multiply
    2,179.50x = 3,270.24 × 880.74
  4. Step 4: Simplify right side
    2,179.50x = 2,880,231.18
  5. Step 5: Solve for x
    x = 2,880,231.18/2,179.50
  6. Step 6: Final answer
    x = 1,321.51

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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.