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Finding the Fourth Proportional to 2,766.56, 3,814.49 and 2,411.19

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Solution

The fourth proportional to 2,766.56, 3,814.49 and 2,411.19 is: 3,324.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.56 : 3,814.49 = 2,411.19 : x
  2. Step 2: Convert to fraction form
    2,766.56/3,814.49 = 2,411.19/x
  3. Step 3: Cross multiply
    2,766.56x = 3,814.49 × 2,411.19
  4. Step 4: Simplify right side
    2,766.56x = 9,197,466.17
  5. Step 5: Solve for x
    x = 9,197,466.17/2,766.56
  6. Step 6: Final answer
    x = 3,324.52

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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.