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Finding the Fourth Proportional to 2,856.84, 4,285.57 and 908.59

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Solution

The fourth proportional to 2,856.84, 4,285.57 and 908.59 is: 1,362.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.84 : 4,285.57 = 908.59 : x
  2. Step 2: Convert to fraction form
    2,856.84/4,285.57 = 908.59/x
  3. Step 3: Cross multiply
    2,856.84x = 4,285.57 × 908.59
  4. Step 4: Simplify right side
    2,856.84x = 3,893,804.62
  5. Step 5: Solve for x
    x = 3,893,804.62/2,856.84
  6. Step 6: Final answer
    x = 1,362.98

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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.