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Finding the Fourth Proportional to 2,819.26, 4,223.35 and 1,842.40

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Solution

The fourth proportional to 2,819.26, 4,223.35 and 1,842.40 is: 2,759.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.26 : 4,223.35 = 1,842.40 : x
  2. Step 2: Convert to fraction form
    2,819.26/4,223.35 = 1,842.40/x
  3. Step 3: Cross multiply
    2,819.26x = 4,223.35 × 1,842.40
  4. Step 4: Simplify right side
    2,819.26x = 7,781,100.04
  5. Step 5: Solve for x
    x = 7,781,100.04/2,819.26
  6. Step 6: Final answer
    x = 2,759.98

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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.