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Finding the Fourth Proportional to 2,269.41, 3,387.71 and 2,107.22

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Solution

The fourth proportional to 2,269.41, 3,387.71 and 2,107.22 is: 3,145.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.41 : 3,387.71 = 2,107.22 : x
  2. Step 2: Convert to fraction form
    2,269.41/3,387.71 = 2,107.22/x
  3. Step 3: Cross multiply
    2,269.41x = 3,387.71 × 2,107.22
  4. Step 4: Simplify right side
    2,269.41x = 7,138,622.79
  5. Step 5: Solve for x
    x = 7,138,622.79/2,269.41
  6. Step 6: Final answer
    x = 3,145.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.