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Finding the Fourth Proportional to 2,856.61, 3,926.99 and 2,456.80

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Solution

The fourth proportional to 2,856.61, 3,926.99 and 2,456.80 is: 3,377.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.61 : 3,926.99 = 2,456.80 : x
  2. Step 2: Convert to fraction form
    2,856.61/3,926.99 = 2,456.80/x
  3. Step 3: Cross multiply
    2,856.61x = 3,926.99 × 2,456.80
  4. Step 4: Simplify right side
    2,856.61x = 9,647,829.03
  5. Step 5: Solve for x
    x = 9,647,829.03/2,856.61
  6. Step 6: Final answer
    x = 3,377.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.