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Finding the Fourth Proportional to 2,843.71, 4,266.24 and 895.91

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Solution

The fourth proportional to 2,843.71, 4,266.24 and 895.91 is: 1,344.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.71 : 4,266.24 = 895.91 : x
  2. Step 2: Convert to fraction form
    2,843.71/4,266.24 = 895.91/x
  3. Step 3: Cross multiply
    2,843.71x = 4,266.24 × 895.91
  4. Step 4: Simplify right side
    2,843.71x = 3,822,145.75
  5. Step 5: Solve for x
    x = 3,822,145.75/2,843.71
  6. Step 6: Final answer
    x = 1,344.07

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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.