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Finding the Fourth Proportional to 2,324.92, 3,487.76 and 764.47

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Solution

The fourth proportional to 2,324.92, 3,487.76 and 764.47 is: 1,146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.92 : 3,487.76 = 764.47 : x
  2. Step 2: Convert to fraction form
    2,324.92/3,487.76 = 764.47/x
  3. Step 3: Cross multiply
    2,324.92x = 3,487.76 × 764.47
  4. Step 4: Simplify right side
    2,324.92x = 2,666,284.06
  5. Step 5: Solve for x
    x = 2,666,284.06/2,324.92
  6. Step 6: Final answer
    x = 1,146.83

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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.