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Finding the Fourth Proportional to 1,618.42, 2,428.20 and 796.60

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Solution

The fourth proportional to 1,618.42, 2,428.20 and 796.60 is: 1,195.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.42 : 2,428.20 = 796.60 : x
  2. Step 2: Convert to fraction form
    1,618.42/2,428.20 = 796.60/x
  3. Step 3: Cross multiply
    1,618.42x = 2,428.20 × 796.60
  4. Step 4: Simplify right side
    1,618.42x = 1,934,304.12
  5. Step 5: Solve for x
    x = 1,934,304.12/1,618.42
  6. Step 6: Final answer
    x = 1,195.18

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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.