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Finding the Fourth Proportional to 3,238.49, 4,468.72 and 1,821.89

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Solution

The fourth proportional to 3,238.49, 4,468.72 and 1,821.89 is: 2,513.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.49 : 4,468.72 = 1,821.89 : x
  2. Step 2: Convert to fraction form
    3,238.49/4,468.72 = 1,821.89/x
  3. Step 3: Cross multiply
    3,238.49x = 4,468.72 × 1,821.89
  4. Step 4: Simplify right side
    3,238.49x = 8,141,516.28
  5. Step 5: Solve for x
    x = 8,141,516.28/3,238.49
  6. Step 6: Final answer
    x = 2,513.99

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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.