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Finding the Fourth Proportional to 2,827.14, 4,240.09 and 878.91

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Solution

The fourth proportional to 2,827.14, 4,240.09 and 878.91 is: 1,318.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.14 : 4,240.09 = 878.91 : x
  2. Step 2: Convert to fraction form
    2,827.14/4,240.09 = 878.91/x
  3. Step 3: Cross multiply
    2,827.14x = 4,240.09 × 878.91
  4. Step 4: Simplify right side
    2,827.14x = 3,726,657.50
  5. Step 5: Solve for x
    x = 3,726,657.50/2,827.14
  6. Step 6: Final answer
    x = 1,318.17

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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.