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Finding the Fourth Proportional to 2,773.22, 3,827.52 and 2,648.66

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Solution

The fourth proportional to 2,773.22, 3,827.52 and 2,648.66 is: 3,655.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.22 : 3,827.52 = 2,648.66 : x
  2. Step 2: Convert to fraction form
    2,773.22/3,827.52 = 2,648.66/x
  3. Step 3: Cross multiply
    2,773.22x = 3,827.52 × 2,648.66
  4. Step 4: Simplify right side
    2,773.22x = 10,137,799.12
  5. Step 5: Solve for x
    x = 10,137,799.12/2,773.22
  6. Step 6: Final answer
    x = 3,655.61

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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.