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Finding the Fourth Proportional to 2,324.16, 3,207.52 and 1,392.48

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Solution

The fourth proportional to 2,324.16, 3,207.52 and 1,392.48 is: 1,921.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.16 : 3,207.52 = 1,392.48 : x
  2. Step 2: Convert to fraction form
    2,324.16/3,207.52 = 1,392.48/x
  3. Step 3: Cross multiply
    2,324.16x = 3,207.52 × 1,392.48
  4. Step 4: Simplify right side
    2,324.16x = 4,466,407.45
  5. Step 5: Solve for x
    x = 4,466,407.45/2,324.16
  6. Step 6: Final answer
    x = 1,921.73

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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.