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Finding the Fourth Proportional to 2,784.75, 3,843.08 and 1,542.75

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Solution

The fourth proportional to 2,784.75, 3,843.08 and 1,542.75 is: 2,129.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.75 : 3,843.08 = 1,542.75 : x
  2. Step 2: Convert to fraction form
    2,784.75/3,843.08 = 1,542.75/x
  3. Step 3: Cross multiply
    2,784.75x = 3,843.08 × 1,542.75
  4. Step 4: Simplify right side
    2,784.75x = 5,928,903.96
  5. Step 5: Solve for x
    x = 5,928,903.96/2,784.75
  6. Step 6: Final answer
    x = 2,129.06

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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.