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Finding the Fourth Proportional to 2,838.12, 4,257.17 and 890.48

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Solution

The fourth proportional to 2,838.12, 4,257.17 and 890.48 is: 1,335.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.12 : 4,257.17 = 890.48 : x
  2. Step 2: Convert to fraction form
    2,838.12/4,257.17 = 890.48/x
  3. Step 3: Cross multiply
    2,838.12x = 4,257.17 × 890.48
  4. Step 4: Simplify right side
    2,838.12x = 3,790,903.46
  5. Step 5: Solve for x
    x = 3,790,903.46/2,838.12
  6. Step 6: Final answer
    x = 1,335.71

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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.