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Finding the Fourth Proportional to 2,782.25, 3,837.74 and 1,942.65

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Solution

The fourth proportional to 2,782.25, 3,837.74 and 1,942.65 is: 2,679.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.25 : 3,837.74 = 1,942.65 : x
  2. Step 2: Convert to fraction form
    2,782.25/3,837.74 = 1,942.65/x
  3. Step 3: Cross multiply
    2,782.25x = 3,837.74 × 1,942.65
  4. Step 4: Simplify right side
    2,782.25x = 7,455,385.61
  5. Step 5: Solve for x
    x = 7,455,385.61/2,782.25
  6. Step 6: Final answer
    x = 2,679.62

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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.