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Finding the Fourth Proportional to 2,773.36, 3,823.80 and 2,330.28

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Solution

The fourth proportional to 2,773.36, 3,823.80 and 2,330.28 is: 3,212.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.36 : 3,823.80 = 2,330.28 : x
  2. Step 2: Convert to fraction form
    2,773.36/3,823.80 = 2,330.28/x
  3. Step 3: Cross multiply
    2,773.36x = 3,823.80 × 2,330.28
  4. Step 4: Simplify right side
    2,773.36x = 8,910,524.66
  5. Step 5: Solve for x
    x = 8,910,524.66/2,773.36
  6. Step 6: Final answer
    x = 3,212.90

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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.