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Finding the Fourth Proportional to 2,324.05, 3,484.44 and 862.81

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Solution

The fourth proportional to 2,324.05, 3,484.44 and 862.81 is: 1,293.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.05 : 3,484.44 = 862.81 : x
  2. Step 2: Convert to fraction form
    2,324.05/3,484.44 = 862.81/x
  3. Step 3: Cross multiply
    2,324.05x = 3,484.44 × 862.81
  4. Step 4: Simplify right side
    2,324.05x = 3,006,400.97
  5. Step 5: Solve for x
    x = 3,006,400.97/2,324.05
  6. Step 6: Final answer
    x = 1,293.61

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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.