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Finding the Fourth Proportional to 1,818.42, 2,723.78 and 1,202.42

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Solution

The fourth proportional to 1,818.42, 2,723.78 and 1,202.42 is: 1,801.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.42 : 2,723.78 = 1,202.42 : x
  2. Step 2: Convert to fraction form
    1,818.42/2,723.78 = 1,202.42/x
  3. Step 3: Cross multiply
    1,818.42x = 2,723.78 × 1,202.42
  4. Step 4: Simplify right side
    1,818.42x = 3,275,127.55
  5. Step 5: Solve for x
    x = 3,275,127.55/1,818.42
  6. Step 6: Final answer
    x = 1,801.08

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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.