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Finding the Fourth Proportional to 3,296.48, 4,550.38 and 1,969.70

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Solution

The fourth proportional to 3,296.48, 4,550.38 and 1,969.70 is: 2,718.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.48 : 4,550.38 = 1,969.70 : x
  2. Step 2: Convert to fraction form
    3,296.48/4,550.38 = 1,969.70/x
  3. Step 3: Cross multiply
    3,296.48x = 4,550.38 × 1,969.70
  4. Step 4: Simplify right side
    3,296.48x = 8,962,883.49
  5. Step 5: Solve for x
    x = 8,962,883.49/3,296.48
  6. Step 6: Final answer
    x = 2,718.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.