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Finding the Fourth Proportional to 3,238.25, 4,468.74 and 1,822.17

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Solution

The fourth proportional to 3,238.25, 4,468.74 and 1,822.17 is: 2,514.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.25 : 4,468.74 = 1,822.17 : x
  2. Step 2: Convert to fraction form
    3,238.25/4,468.74 = 1,822.17/x
  3. Step 3: Cross multiply
    3,238.25x = 4,468.74 × 1,822.17
  4. Step 4: Simplify right side
    3,238.25x = 8,142,813.89
  5. Step 5: Solve for x
    x = 8,142,813.89/3,238.25
  6. Step 6: Final answer
    x = 2,514.58

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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.