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Finding the Fourth Proportional to 2,813.42, 3,880.68 and 2,223.74

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Solution

The fourth proportional to 2,813.42, 3,880.68 and 2,223.74 is: 3,067.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.42 : 3,880.68 = 2,223.74 : x
  2. Step 2: Convert to fraction form
    2,813.42/3,880.68 = 2,223.74/x
  3. Step 3: Cross multiply
    2,813.42x = 3,880.68 × 2,223.74
  4. Step 4: Simplify right side
    2,813.42x = 8,629,623.34
  5. Step 5: Solve for x
    x = 8,629,623.34/2,813.42
  6. Step 6: Final answer
    x = 3,067.31

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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.