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Finding the Fourth Proportional to 3,022.56, 4,167.54 and 2,742.84

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Solution

The fourth proportional to 3,022.56, 4,167.54 and 2,742.84 is: 3,781.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.56 : 4,167.54 = 2,742.84 : x
  2. Step 2: Convert to fraction form
    3,022.56/4,167.54 = 2,742.84/x
  3. Step 3: Cross multiply
    3,022.56x = 4,167.54 × 2,742.84
  4. Step 4: Simplify right side
    3,022.56x = 11,430,895.41
  5. Step 5: Solve for x
    x = 11,430,895.41/3,022.56
  6. Step 6: Final answer
    x = 3,781.86

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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.