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Finding the Fourth Proportional to 2,346.92, 3,229.24 and 2,291.57

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Solution

The fourth proportional to 2,346.92, 3,229.24 and 2,291.57 is: 3,153.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.92 : 3,229.24 = 2,291.57 : x
  2. Step 2: Convert to fraction form
    2,346.92/3,229.24 = 2,291.57/x
  3. Step 3: Cross multiply
    2,346.92x = 3,229.24 × 2,291.57
  4. Step 4: Simplify right side
    2,346.92x = 7,400,021.40
  5. Step 5: Solve for x
    x = 7,400,021.40/2,346.92
  6. Step 6: Final answer
    x = 3,153.07

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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.