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Finding the Fourth Proportional to 2,784.52, 3,845.22 and 2,084.68

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Solution

The fourth proportional to 2,784.52, 3,845.22 and 2,084.68 is: 2,878.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.52 : 3,845.22 = 2,084.68 : x
  2. Step 2: Convert to fraction form
    2,784.52/3,845.22 = 2,084.68/x
  3. Step 3: Cross multiply
    2,784.52x = 3,845.22 × 2,084.68
  4. Step 4: Simplify right side
    2,784.52x = 8,016,053.23
  5. Step 5: Solve for x
    x = 8,016,053.23/2,784.52
  6. Step 6: Final answer
    x = 2,878.79

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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.