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Finding the Fourth Proportional to 2,324.87, 3,487.13 and 764.93

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Solution

The fourth proportional to 2,324.87, 3,487.13 and 764.93 is: 1,147.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.87 : 3,487.13 = 764.93 : x
  2. Step 2: Convert to fraction form
    2,324.87/3,487.13 = 764.93/x
  3. Step 3: Cross multiply
    2,324.87x = 3,487.13 × 764.93
  4. Step 4: Simplify right side
    2,324.87x = 2,667,389.09
  5. Step 5: Solve for x
    x = 2,667,389.09/2,324.87
  6. Step 6: Final answer
    x = 1,147.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.