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Finding the Fourth Proportional to 2,856.65, 4,285.89 and 908.87

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Solution

The fourth proportional to 2,856.65, 4,285.89 and 908.87 is: 1,363.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.65 : 4,285.89 = 908.87 : x
  2. Step 2: Convert to fraction form
    2,856.65/4,285.89 = 908.87/x
  3. Step 3: Cross multiply
    2,856.65x = 4,285.89 × 908.87
  4. Step 4: Simplify right side
    2,856.65x = 3,895,295.41
  5. Step 5: Solve for x
    x = 3,895,295.41/2,856.65
  6. Step 6: Final answer
    x = 1,363.59

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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.