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Finding the Fourth Proportional to 2,275.74, 3,433.49 and 2,269.68

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Solution

The fourth proportional to 2,275.74, 3,433.49 and 2,269.68 is: 3,424.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.74 : 3,433.49 = 2,269.68 : x
  2. Step 2: Convert to fraction form
    2,275.74/3,433.49 = 2,269.68/x
  3. Step 3: Cross multiply
    2,275.74x = 3,433.49 × 2,269.68
  4. Step 4: Simplify right side
    2,275.74x = 7,792,912.23
  5. Step 5: Solve for x
    x = 7,792,912.23/2,275.74
  6. Step 6: Final answer
    x = 3,424.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.