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Finding the Fourth Proportional to 2,856.34, 4,284.82 and 908.09

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Solution

The fourth proportional to 2,856.34, 4,284.82 and 908.09 is: 1,362.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.34 : 4,284.82 = 908.09 : x
  2. Step 2: Convert to fraction form
    2,856.34/4,284.82 = 908.09/x
  3. Step 3: Cross multiply
    2,856.34x = 4,284.82 × 908.09
  4. Step 4: Simplify right side
    2,856.34x = 3,890,981.90
  5. Step 5: Solve for x
    x = 3,890,981.90/2,856.34
  6. Step 6: Final answer
    x = 1,362.23

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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.