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Finding the Fourth Proportional to 2,196.64, 3,296.26 and 810.94

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Solution

The fourth proportional to 2,196.64, 3,296.26 and 810.94 is: 1,216.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.64 : 3,296.26 = 810.94 : x
  2. Step 2: Convert to fraction form
    2,196.64/3,296.26 = 810.94/x
  3. Step 3: Cross multiply
    2,196.64x = 3,296.26 × 810.94
  4. Step 4: Simplify right side
    2,196.64x = 2,673,069.08
  5. Step 5: Solve for x
    x = 2,673,069.08/2,196.64
  6. Step 6: Final answer
    x = 1,216.89

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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.