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Finding the Fourth Proportional to 2,981.61, 4,107.92 and 2,234.39

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Solution

The fourth proportional to 2,981.61, 4,107.92 and 2,234.39 is: 3,078.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.61 : 4,107.92 = 2,234.39 : x
  2. Step 2: Convert to fraction form
    2,981.61/4,107.92 = 2,234.39/x
  3. Step 3: Cross multiply
    2,981.61x = 4,107.92 × 2,234.39
  4. Step 4: Simplify right side
    2,981.61x = 9,178,663.66
  5. Step 5: Solve for x
    x = 9,178,663.66/2,981.61
  6. Step 6: Final answer
    x = 3,078.43

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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.