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Finding the Fourth Proportional to 2,773.27, 3,822.09 and 2,298.66

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Solution

The fourth proportional to 2,773.27, 3,822.09 and 2,298.66 is: 3,168.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.27 : 3,822.09 = 2,298.66 : x
  2. Step 2: Convert to fraction form
    2,773.27/3,822.09 = 2,298.66/x
  3. Step 3: Cross multiply
    2,773.27x = 3,822.09 × 2,298.66
  4. Step 4: Simplify right side
    2,773.27x = 8,785,701.19
  5. Step 5: Solve for x
    x = 8,785,701.19/2,773.27
  6. Step 6: Final answer
    x = 3,168.00

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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.