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Finding the Fourth Proportional to 2,838.63, 4,257.89 and 864.26

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Solution

The fourth proportional to 2,838.63, 4,257.89 and 864.26 is: 1,296.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.63 : 4,257.89 = 864.26 : x
  2. Step 2: Convert to fraction form
    2,838.63/4,257.89 = 864.26/x
  3. Step 3: Cross multiply
    2,838.63x = 4,257.89 × 864.26
  4. Step 4: Simplify right side
    2,838.63x = 3,679,898.40
  5. Step 5: Solve for x
    x = 3,679,898.40/2,838.63
  6. Step 6: Final answer
    x = 1,296.36

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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.