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Finding the Fourth Proportional to 2,324.96, 3,207.22 and 1,764.51

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Solution

The fourth proportional to 2,324.96, 3,207.22 and 1,764.51 is: 2,434.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.96 : 3,207.22 = 1,764.51 : x
  2. Step 2: Convert to fraction form
    2,324.96/3,207.22 = 1,764.51/x
  3. Step 3: Cross multiply
    2,324.96x = 3,207.22 × 1,764.51
  4. Step 4: Simplify right side
    2,324.96x = 5,659,171.76
  5. Step 5: Solve for x
    x = 5,659,171.76/2,324.96
  6. Step 6: Final answer
    x = 2,434.09

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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.