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Finding the Fourth Proportional to 2,372.27, 3,278.07 and 2,258.46

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Solution

The fourth proportional to 2,372.27, 3,278.07 and 2,258.46 is: 3,120.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.27 : 3,278.07 = 2,258.46 : x
  2. Step 2: Convert to fraction form
    2,372.27/3,278.07 = 2,258.46/x
  3. Step 3: Cross multiply
    2,372.27x = 3,278.07 × 2,258.46
  4. Step 4: Simplify right side
    2,372.27x = 7,403,389.97
  5. Step 5: Solve for x
    x = 7,403,389.97/2,372.27
  6. Step 6: Final answer
    x = 3,120.81

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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.