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Finding the Fourth Proportional to 2,856.43, 4,284.60 and 908.61

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Solution

The fourth proportional to 2,856.43, 4,284.60 and 908.61 is: 1,362.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.43 : 4,284.60 = 908.61 : x
  2. Step 2: Convert to fraction form
    2,856.43/4,284.60 = 908.61/x
  3. Step 3: Cross multiply
    2,856.43x = 4,284.60 × 908.61
  4. Step 4: Simplify right side
    2,856.43x = 3,893,030.41
  5. Step 5: Solve for x
    x = 3,893,030.41/2,856.43
  6. Step 6: Final answer
    x = 1,362.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.