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Finding the Fourth Proportional to 2,341.92, 3,213.85 and 2,209.86

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Solution

The fourth proportional to 2,341.92, 3,213.85 and 2,209.86 is: 3,032.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.92 : 3,213.85 = 2,209.86 : x
  2. Step 2: Convert to fraction form
    2,341.92/3,213.85 = 2,209.86/x
  3. Step 3: Cross multiply
    2,341.92x = 3,213.85 × 2,209.86
  4. Step 4: Simplify right side
    2,341.92x = 7,102,158.56
  5. Step 5: Solve for x
    x = 7,102,158.56/2,341.92
  6. Step 6: Final answer
    x = 3,032.63

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.