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Finding the Fourth Proportional to 2,195.17, 3,294.18 and 808.51

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Solution

The fourth proportional to 2,195.17, 3,294.18 and 808.51 is: 1,213.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.17 : 3,294.18 = 808.51 : x
  2. Step 2: Convert to fraction form
    2,195.17/3,294.18 = 808.51/x
  3. Step 3: Cross multiply
    2,195.17x = 3,294.18 × 808.51
  4. Step 4: Simplify right side
    2,195.17x = 2,663,377.47
  5. Step 5: Solve for x
    x = 2,663,377.47/2,195.17
  6. Step 6: Final answer
    x = 1,213.29

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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.