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Finding the Fourth Proportional to 2,339.34, 3,218.83 and 2,258.52

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Solution

The fourth proportional to 2,339.34, 3,218.83 and 2,258.52 is: 3,107.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.34 : 3,218.83 = 2,258.52 : x
  2. Step 2: Convert to fraction form
    2,339.34/3,218.83 = 2,258.52/x
  3. Step 3: Cross multiply
    2,339.34x = 3,218.83 × 2,258.52
  4. Step 4: Simplify right side
    2,339.34x = 7,269,791.93
  5. Step 5: Solve for x
    x = 7,269,791.93/2,339.34
  6. Step 6: Final answer
    x = 3,107.63

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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.