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Finding the Fourth Proportional to 2,838.56, 4,257.83 and 890.91

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Solution

The fourth proportional to 2,838.56, 4,257.83 and 890.91 is: 1,336.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.56 : 4,257.83 = 890.91 : x
  2. Step 2: Convert to fraction form
    2,838.56/4,257.83 = 890.91/x
  3. Step 3: Cross multiply
    2,838.56x = 4,257.83 × 890.91
  4. Step 4: Simplify right side
    2,838.56x = 3,793,338.87
  5. Step 5: Solve for x
    x = 3,793,338.87/2,838.56
  6. Step 6: Final answer
    x = 1,336.36

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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.