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Finding the Fourth Proportional to 2,269.62, 3,378.61 and 2,257.27

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Solution

The fourth proportional to 2,269.62, 3,378.61 and 2,257.27 is: 3,360.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.62 : 3,378.61 = 2,257.27 : x
  2. Step 2: Convert to fraction form
    2,269.62/3,378.61 = 2,257.27/x
  3. Step 3: Cross multiply
    2,269.62x = 3,378.61 × 2,257.27
  4. Step 4: Simplify right side
    2,269.62x = 7,626,429.37
  5. Step 5: Solve for x
    x = 7,626,429.37/2,269.62
  6. Step 6: Final answer
    x = 3,360.22

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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.