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Finding the Fourth Proportional to 1,227.34, 1,840.31 and 1,081.42

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Solution

The fourth proportional to 1,227.34, 1,840.31 and 1,081.42 is: 1,621.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.34 : 1,840.31 = 1,081.42 : x
  2. Step 2: Convert to fraction form
    1,227.34/1,840.31 = 1,081.42/x
  3. Step 3: Cross multiply
    1,227.34x = 1,840.31 × 1,081.42
  4. Step 4: Simplify right side
    1,227.34x = 1,990,148.17
  5. Step 5: Solve for x
    x = 1,990,148.17/1,227.34
  6. Step 6: Final answer
    x = 1,621.52

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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.