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Finding the Fourth Proportional to 3,238.22, 4,468.95 and 1,822.04

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Solution

The fourth proportional to 3,238.22, 4,468.95 and 1,822.04 is: 2,514.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.22 : 4,468.95 = 1,822.04 : x
  2. Step 2: Convert to fraction form
    3,238.22/4,468.95 = 1,822.04/x
  3. Step 3: Cross multiply
    3,238.22x = 4,468.95 × 1,822.04
  4. Step 4: Simplify right side
    3,238.22x = 8,142,605.66
  5. Step 5: Solve for x
    x = 8,142,605.66/3,238.22
  6. Step 6: Final answer
    x = 2,514.53

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