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Finding the Fourth Proportional to 2,349.92, 3,218.98 and 2,324

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Solution

The fourth proportional to 2,349.92, 3,218.98 and 2,324 is: 3,183.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.92 : 3,218.98 = 2,324 : x
  2. Step 2: Convert to fraction form
    2,349.92/3,218.98 = 2,324/x
  3. Step 3: Cross multiply
    2,349.92x = 3,218.98 × 2,324
  4. Step 4: Simplify right side
    2,349.92x = 7,480,909.52
  5. Step 5: Solve for x
    x = 7,480,909.52/2,349.92
  6. Step 6: Final answer
    x = 3,183.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.