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Finding the Fourth Proportional to 2,892.92, 3,981.56 and 2,466.45

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Solution

The fourth proportional to 2,892.92, 3,981.56 and 2,466.45 is: 3,394.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.92 : 3,981.56 = 2,466.45 : x
  2. Step 2: Convert to fraction form
    2,892.92/3,981.56 = 2,466.45/x
  3. Step 3: Cross multiply
    2,892.92x = 3,981.56 × 2,466.45
  4. Step 4: Simplify right side
    2,892.92x = 9,820,306.33
  5. Step 5: Solve for x
    x = 9,820,306.33/2,892.92
  6. Step 6: Final answer
    x = 3,394.61

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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.