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Finding the Fourth Proportional to 2,334, 3,221.24 and 1,713.84

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Solution

The fourth proportional to 2,334, 3,221.24 and 1,713.84 is: 2,365.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334 : 3,221.24 = 1,713.84 : x
  2. Step 2: Convert to fraction form
    2,334/3,221.24 = 1,713.84/x
  3. Step 3: Cross multiply
    2,334x = 3,221.24 × 1,713.84
  4. Step 4: Simplify right side
    2,334x = 5,520,689.96
  5. Step 5: Solve for x
    x = 5,520,689.96/2,334
  6. Step 6: Final answer
    x = 2,365.33

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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.