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Finding the Fourth Proportional to 3,238.46, 4,468.90 and 1,822.17

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Solution

The fourth proportional to 3,238.46, 4,468.90 and 1,822.17 is: 2,514.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.46 : 4,468.90 = 1,822.17 : x
  2. Step 2: Convert to fraction form
    3,238.46/4,468.90 = 1,822.17/x
  3. Step 3: Cross multiply
    3,238.46x = 4,468.90 × 1,822.17
  4. Step 4: Simplify right side
    3,238.46x = 8,143,095.51
  5. Step 5: Solve for x
    x = 8,143,095.51/3,238.46
  6. Step 6: Final answer
    x = 2,514.50

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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.