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Finding the Fourth Proportional to 2,116.62, 3,175.38 and 818.46

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Solution

The fourth proportional to 2,116.62, 3,175.38 and 818.46 is: 1,227.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.62 : 3,175.38 = 818.46 : x
  2. Step 2: Convert to fraction form
    2,116.62/3,175.38 = 818.46/x
  3. Step 3: Cross multiply
    2,116.62x = 3,175.38 × 818.46
  4. Step 4: Simplify right side
    2,116.62x = 2,598,921.51
  5. Step 5: Solve for x
    x = 2,598,921.51/2,116.62
  6. Step 6: Final answer
    x = 1,227.86

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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.