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Finding the Fourth Proportional to 2,736.62, 4,097.84 and 2,296.80

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Solution

The fourth proportional to 2,736.62, 4,097.84 and 2,296.80 is: 3,439.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.62 : 4,097.84 = 2,296.80 : x
  2. Step 2: Convert to fraction form
    2,736.62/4,097.84 = 2,296.80/x
  3. Step 3: Cross multiply
    2,736.62x = 4,097.84 × 2,296.80
  4. Step 4: Simplify right side
    2,736.62x = 9,411,918.91
  5. Step 5: Solve for x
    x = 9,411,918.91/2,736.62
  6. Step 6: Final answer
    x = 3,439.25

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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.