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Finding the Fourth Proportional to 1,856.62, 2,562.94 and 1,227.45

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Solution

The fourth proportional to 1,856.62, 2,562.94 and 1,227.45 is: 1,694.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.62 : 2,562.94 = 1,227.45 : x
  2. Step 2: Convert to fraction form
    1,856.62/2,562.94 = 1,227.45/x
  3. Step 3: Cross multiply
    1,856.62x = 2,562.94 × 1,227.45
  4. Step 4: Simplify right side
    1,856.62x = 3,145,891.85
  5. Step 5: Solve for x
    x = 3,145,891.85/1,856.62
  6. Step 6: Final answer
    x = 1,694.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.