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Finding the Fourth Proportional to 3,219.36, 4,442.48 and 1,822.08

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Solution

The fourth proportional to 3,219.36, 4,442.48 and 1,822.08 is: 2,514.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.36 : 4,442.48 = 1,822.08 : x
  2. Step 2: Convert to fraction form
    3,219.36/4,442.48 = 1,822.08/x
  3. Step 3: Cross multiply
    3,219.36x = 4,442.48 × 1,822.08
  4. Step 4: Simplify right side
    3,219.36x = 8,094,553.96
  5. Step 5: Solve for x
    x = 8,094,553.96/3,219.36
  6. Step 6: Final answer
    x = 2,514.34

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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.