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Finding the Fourth Proportional to 2,839.52, 4,252.08 and 1,914.08

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Solution

The fourth proportional to 2,839.52, 4,252.08 and 1,914.08 is: 2,866.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.52 : 4,252.08 = 1,914.08 : x
  2. Step 2: Convert to fraction form
    2,839.52/4,252.08 = 1,914.08/x
  3. Step 3: Cross multiply
    2,839.52x = 4,252.08 × 1,914.08
  4. Step 4: Simplify right side
    2,839.52x = 8,138,821.29
  5. Step 5: Solve for x
    x = 8,138,821.29/2,839.52
  6. Step 6: Final answer
    x = 2,866.27

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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.