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Finding the Fourth Proportional to 2,324.74, 3,212.29 and 1,729.63

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Solution

The fourth proportional to 2,324.74, 3,212.29 and 1,729.63 is: 2,389.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.74 : 3,212.29 = 1,729.63 : x
  2. Step 2: Convert to fraction form
    2,324.74/3,212.29 = 1,729.63/x
  3. Step 3: Cross multiply
    2,324.74x = 3,212.29 × 1,729.63
  4. Step 4: Simplify right side
    2,324.74x = 5,556,064.50
  5. Step 5: Solve for x
    x = 5,556,064.50/2,324.74
  6. Step 6: Final answer
    x = 2,389.97

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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.