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Finding the Fourth Proportional to 2,784.78, 3,838.59 and 2,224.26

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Solution

The fourth proportional to 2,784.78, 3,838.59 and 2,224.26 is: 3,065.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.78 : 3,838.59 = 2,224.26 : x
  2. Step 2: Convert to fraction form
    2,784.78/3,838.59 = 2,224.26/x
  3. Step 3: Cross multiply
    2,784.78x = 3,838.59 × 2,224.26
  4. Step 4: Simplify right side
    2,784.78x = 8,538,022.19
  5. Step 5: Solve for x
    x = 8,538,022.19/2,784.78
  6. Step 6: Final answer
    x = 3,065.96

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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.