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Finding the Fourth Proportional to 2,324.09, 3,207.24 and 1,276.16

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Solution

The fourth proportional to 2,324.09, 3,207.24 and 1,276.16 is: 1,761.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.09 : 3,207.24 = 1,276.16 : x
  2. Step 2: Convert to fraction form
    2,324.09/3,207.24 = 1,276.16/x
  3. Step 3: Cross multiply
    2,324.09x = 3,207.24 × 1,276.16
  4. Step 4: Simplify right side
    2,324.09x = 4,092,951.40
  5. Step 5: Solve for x
    x = 4,092,951.40/2,324.09
  6. Step 6: Final answer
    x = 1,761.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.