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Finding the Fourth Proportional to 2,884.68, 3,963.56 and 2,294.19

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Solution

The fourth proportional to 2,884.68, 3,963.56 and 2,294.19 is: 3,152.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.68 : 3,963.56 = 2,294.19 : x
  2. Step 2: Convert to fraction form
    2,884.68/3,963.56 = 2,294.19/x
  3. Step 3: Cross multiply
    2,884.68x = 3,963.56 × 2,294.19
  4. Step 4: Simplify right side
    2,884.68x = 9,093,148.25
  5. Step 5: Solve for x
    x = 9,093,148.25/2,884.68
  6. Step 6: Final answer
    x = 3,152.22

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.