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Finding the Fourth Proportional to 2,779.81, 4,171.77 and 2,238.53

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Solution

The fourth proportional to 2,779.81, 4,171.77 and 2,238.53 is: 3,359.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.81 : 4,171.77 = 2,238.53 : x
  2. Step 2: Convert to fraction form
    2,779.81/4,171.77 = 2,238.53/x
  3. Step 3: Cross multiply
    2,779.81x = 4,171.77 × 2,238.53
  4. Step 4: Simplify right side
    2,779.81x = 9,338,611.44
  5. Step 5: Solve for x
    x = 9,338,611.44/2,779.81
  6. Step 6: Final answer
    x = 3,359.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.