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Finding the Fourth Proportional to 2,784.66, 3,843.29 and 2,120.26

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Solution

The fourth proportional to 2,784.66, 3,843.29 and 2,120.26 is: 2,926.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.66 : 3,843.29 = 2,120.26 : x
  2. Step 2: Convert to fraction form
    2,784.66/3,843.29 = 2,120.26/x
  3. Step 3: Cross multiply
    2,784.66x = 3,843.29 × 2,120.26
  4. Step 4: Simplify right side
    2,784.66x = 8,148,769.75
  5. Step 5: Solve for x
    x = 8,148,769.75/2,784.66
  6. Step 6: Final answer
    x = 2,926.31

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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.