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Finding the Fourth Proportional to 2,324.37, 3,207.37 and 1,472.58

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Solution

The fourth proportional to 2,324.37, 3,207.37 and 1,472.58 is: 2,032.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.37 : 3,207.37 = 1,472.58 : x
  2. Step 2: Convert to fraction form
    2,324.37/3,207.37 = 1,472.58/x
  3. Step 3: Cross multiply
    2,324.37x = 3,207.37 × 1,472.58
  4. Step 4: Simplify right side
    2,324.37x = 4,723,112.14
  5. Step 5: Solve for x
    x = 4,723,112.14/2,324.37
  6. Step 6: Final answer
    x = 2,032.00

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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.