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Finding the Fourth Proportional to 2,179.77, 3,269.57 and 698.95

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Solution

The fourth proportional to 2,179.77, 3,269.57 and 698.95 is: 1,048.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.77 : 3,269.57 = 698.95 : x
  2. Step 2: Convert to fraction form
    2,179.77/3,269.57 = 698.95/x
  3. Step 3: Cross multiply
    2,179.77x = 3,269.57 × 698.95
  4. Step 4: Simplify right side
    2,179.77x = 2,285,281.64
  5. Step 5: Solve for x
    x = 2,285,281.64/2,179.77
  6. Step 6: Final answer
    x = 1,048.41

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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.