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Finding the Fourth Proportional to 2,838.02, 4,257.63 and 863.80

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Solution

The fourth proportional to 2,838.02, 4,257.63 and 863.80 is: 1,295.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.02 : 4,257.63 = 863.80 : x
  2. Step 2: Convert to fraction form
    2,838.02/4,257.63 = 863.80/x
  3. Step 3: Cross multiply
    2,838.02x = 4,257.63 × 863.80
  4. Step 4: Simplify right side
    2,838.02x = 3,677,740.79
  5. Step 5: Solve for x
    x = 3,677,740.79/2,838.02
  6. Step 6: Final answer
    x = 1,295.88

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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.