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Finding the Fourth Proportional to 2,784.92, 3,834.42 and 2,119.64

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Solution

The fourth proportional to 2,784.92, 3,834.42 and 2,119.64 is: 2,918.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.92 : 3,834.42 = 2,119.64 : x
  2. Step 2: Convert to fraction form
    2,784.92/3,834.42 = 2,119.64/x
  3. Step 3: Cross multiply
    2,784.92x = 3,834.42 × 2,119.64
  4. Step 4: Simplify right side
    2,784.92x = 8,127,590.01
  5. Step 5: Solve for x
    x = 8,127,590.01/2,784.92
  6. Step 6: Final answer
    x = 2,918.43

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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.