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Finding the Fourth Proportional to 2,325.92, 3,486.44 and 864.47

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Solution

The fourth proportional to 2,325.92, 3,486.44 and 864.47 is: 1,295.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.92 : 3,486.44 = 864.47 : x
  2. Step 2: Convert to fraction form
    2,325.92/3,486.44 = 864.47/x
  3. Step 3: Cross multiply
    2,325.92x = 3,486.44 × 864.47
  4. Step 4: Simplify right side
    2,325.92x = 3,013,933.66
  5. Step 5: Solve for x
    x = 3,013,933.66/2,325.92
  6. Step 6: Final answer
    x = 1,295.81

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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.