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Finding the Fourth Proportional to 2,784.90, 3,843.69 and 1,791.42

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Solution

The fourth proportional to 2,784.90, 3,843.69 and 1,791.42 is: 2,472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.90 : 3,843.69 = 1,791.42 : x
  2. Step 2: Convert to fraction form
    2,784.90/3,843.69 = 1,791.42/x
  3. Step 3: Cross multiply
    2,784.90x = 3,843.69 × 1,791.42
  4. Step 4: Simplify right side
    2,784.90x = 6,885,663.14
  5. Step 5: Solve for x
    x = 6,885,663.14/2,784.90
  6. Step 6: Final answer
    x = 2,472.50

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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.