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Finding the Fourth Proportional to 2,361, 3,541.62 and 822.12

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Solution

The fourth proportional to 2,361, 3,541.62 and 822.12 is: 1,233.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361 : 3,541.62 = 822.12 : x
  2. Step 2: Convert to fraction form
    2,361/3,541.62 = 822.12/x
  3. Step 3: Cross multiply
    2,361x = 3,541.62 × 822.12
  4. Step 4: Simplify right side
    2,361x = 2,911,636.63
  5. Step 5: Solve for x
    x = 2,911,636.63/2,361
  6. Step 6: Final answer
    x = 1,233.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.