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Finding the Fourth Proportional to 2,856.27, 3,940.77 and 1,863

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Solution

The fourth proportional to 2,856.27, 3,940.77 and 1,863 is: 2,570.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.27 : 3,940.77 = 1,863 : x
  2. Step 2: Convert to fraction form
    2,856.27/3,940.77 = 1,863/x
  3. Step 3: Cross multiply
    2,856.27x = 3,940.77 × 1,863
  4. Step 4: Simplify right side
    2,856.27x = 7,341,654.51
  5. Step 5: Solve for x
    x = 7,341,654.51/2,856.27
  6. Step 6: Final answer
    x = 2,570.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.