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Finding the Fourth Proportional to 2,197.06, 3,294.51 and 809.98

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Solution

The fourth proportional to 2,197.06, 3,294.51 and 809.98 is: 1,214.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.06 : 3,294.51 = 809.98 : x
  2. Step 2: Convert to fraction form
    2,197.06/3,294.51 = 809.98/x
  3. Step 3: Cross multiply
    2,197.06x = 3,294.51 × 809.98
  4. Step 4: Simplify right side
    2,197.06x = 2,668,487.21
  5. Step 5: Solve for x
    x = 2,668,487.21/2,197.06
  6. Step 6: Final answer
    x = 1,214.57

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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.