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Finding the Fourth Proportional to 1,818.55, 2,727.82 and 1,202.12

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Solution

The fourth proportional to 1,818.55, 2,727.82 and 1,202.12 is: 1,803.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.55 : 2,727.82 = 1,202.12 : x
  2. Step 2: Convert to fraction form
    1,818.55/2,727.82 = 1,202.12/x
  3. Step 3: Cross multiply
    1,818.55x = 2,727.82 × 1,202.12
  4. Step 4: Simplify right side
    1,818.55x = 3,279,165.07
  5. Step 5: Solve for x
    x = 3,279,165.07/1,818.55
  6. Step 6: Final answer
    x = 1,803.17

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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.