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Finding the Fourth Proportional to 2,942.73, 4,058.71 and 1,824.32

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Solution

The fourth proportional to 2,942.73, 4,058.71 and 1,824.32 is: 2,516.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.73 : 4,058.71 = 1,824.32 : x
  2. Step 2: Convert to fraction form
    2,942.73/4,058.71 = 1,824.32/x
  3. Step 3: Cross multiply
    2,942.73x = 4,058.71 × 1,824.32
  4. Step 4: Simplify right side
    2,942.73x = 7,404,391.41
  5. Step 5: Solve for x
    x = 7,404,391.41/2,942.73
  6. Step 6: Final answer
    x = 2,516.16

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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.