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Finding the Fourth Proportional to 2,788.57, 3,846.10 and 2,042.26

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Solution

The fourth proportional to 2,788.57, 3,846.10 and 2,042.26 is: 2,816.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.57 : 3,846.10 = 2,042.26 : x
  2. Step 2: Convert to fraction form
    2,788.57/3,846.10 = 2,042.26/x
  3. Step 3: Cross multiply
    2,788.57x = 3,846.10 × 2,042.26
  4. Step 4: Simplify right side
    2,788.57x = 7,854,736.19
  5. Step 5: Solve for x
    x = 7,854,736.19/2,788.57
  6. Step 6: Final answer
    x = 2,816.76

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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.