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Finding the Fourth Proportional to 2,856.82, 4,285.32 and 908.82

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Solution

The fourth proportional to 2,856.82, 4,285.32 and 908.82 is: 1,363.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.82 : 4,285.32 = 908.82 : x
  2. Step 2: Convert to fraction form
    2,856.82/4,285.32 = 908.82/x
  3. Step 3: Cross multiply
    2,856.82x = 4,285.32 × 908.82
  4. Step 4: Simplify right side
    2,856.82x = 3,894,584.52
  5. Step 5: Solve for x
    x = 3,894,584.52/2,856.82
  6. Step 6: Final answer
    x = 1,363.26

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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.