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Finding the Fourth Proportional to 2,196.75, 3,294.21 and 810.17

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Solution

The fourth proportional to 2,196.75, 3,294.21 and 810.17 is: 1,214.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.75 : 3,294.21 = 810.17 : x
  2. Step 2: Convert to fraction form
    2,196.75/3,294.21 = 810.17/x
  3. Step 3: Cross multiply
    2,196.75x = 3,294.21 × 810.17
  4. Step 4: Simplify right side
    2,196.75x = 2,668,853.64
  5. Step 5: Solve for x
    x = 2,668,853.64/2,196.75
  6. Step 6: Final answer
    x = 1,214.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.