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Finding the Fourth Proportional to 2,324.07, 3,207.21 and 1,392.57

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Solution

The fourth proportional to 2,324.07, 3,207.21 and 1,392.57 is: 1,921.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.07 : 3,207.21 = 1,392.57 : x
  2. Step 2: Convert to fraction form
    2,324.07/3,207.21 = 1,392.57/x
  3. Step 3: Cross multiply
    2,324.07x = 3,207.21 × 1,392.57
  4. Step 4: Simplify right side
    2,324.07x = 4,466,264.43
  5. Step 5: Solve for x
    x = 4,466,264.43/2,324.07
  6. Step 6: Final answer
    x = 1,921.74

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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.