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Finding the Fourth Proportional to 2,116.01, 3,172.18 and 818.39

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Solution

The fourth proportional to 2,116.01, 3,172.18 and 818.39 is: 1,226.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.01 : 3,172.18 = 818.39 : x
  2. Step 2: Convert to fraction form
    2,116.01/3,172.18 = 818.39/x
  3. Step 3: Cross multiply
    2,116.01x = 3,172.18 × 818.39
  4. Step 4: Simplify right side
    2,116.01x = 2,596,080.39
  5. Step 5: Solve for x
    x = 2,596,080.39/2,116.01
  6. Step 6: Final answer
    x = 1,226.88

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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.