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Finding the Fourth Proportional to 2,832.22, 3,908.28 and 1,769.93

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Solution

The fourth proportional to 2,832.22, 3,908.28 and 1,769.93 is: 2,442.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.22 : 3,908.28 = 1,769.93 : x
  2. Step 2: Convert to fraction form
    2,832.22/3,908.28 = 1,769.93/x
  3. Step 3: Cross multiply
    2,832.22x = 3,908.28 × 1,769.93
  4. Step 4: Simplify right side
    2,832.22x = 6,917,383.77
  5. Step 5: Solve for x
    x = 6,917,383.77/2,832.22
  6. Step 6: Final answer
    x = 2,442.39

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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.