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Finding the Fourth Proportional to 2,842.56, 3,919.92 and 2,172.12

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Solution

The fourth proportional to 2,842.56, 3,919.92 and 2,172.12 is: 2,995.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.56 : 3,919.92 = 2,172.12 : x
  2. Step 2: Convert to fraction form
    2,842.56/3,919.92 = 2,172.12/x
  3. Step 3: Cross multiply
    2,842.56x = 3,919.92 × 2,172.12
  4. Step 4: Simplify right side
    2,842.56x = 8,514,536.63
  5. Step 5: Solve for x
    x = 8,514,536.63/2,842.56
  6. Step 6: Final answer
    x = 2,995.38

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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.