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Finding the Fourth Proportional to 2,779.92, 3,839.40 and 2,188.62

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Solution

The fourth proportional to 2,779.92, 3,839.40 and 2,188.62 is: 3,022.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.92 : 3,839.40 = 2,188.62 : x
  2. Step 2: Convert to fraction form
    2,779.92/3,839.40 = 2,188.62/x
  3. Step 3: Cross multiply
    2,779.92x = 3,839.40 × 2,188.62
  4. Step 4: Simplify right side
    2,779.92x = 8,402,987.63
  5. Step 5: Solve for x
    x = 8,402,987.63/2,779.92
  6. Step 6: Final answer
    x = 3,022.74

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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.