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Finding the Fourth Proportional to 2,932.54, 4,379.64 and 2,348.43

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Solution

The fourth proportional to 2,932.54, 4,379.64 and 2,348.43 is: 3,507.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.54 : 4,379.64 = 2,348.43 : x
  2. Step 2: Convert to fraction form
    2,932.54/4,379.64 = 2,348.43/x
  3. Step 3: Cross multiply
    2,932.54x = 4,379.64 × 2,348.43
  4. Step 4: Simplify right side
    2,932.54x = 10,285,277.97
  5. Step 5: Solve for x
    x = 10,285,277.97/2,932.54
  6. Step 6: Final answer
    x = 3,507.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.