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Finding the Fourth Proportional to 2,007.15, 3,010.24 and 546.31

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Solution

The fourth proportional to 2,007.15, 3,010.24 and 546.31 is: 819.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.15 : 3,010.24 = 546.31 : x
  2. Step 2: Convert to fraction form
    2,007.15/3,010.24 = 546.31/x
  3. Step 3: Cross multiply
    2,007.15x = 3,010.24 × 546.31
  4. Step 4: Simplify right side
    2,007.15x = 1,644,524.21
  5. Step 5: Solve for x
    x = 1,644,524.21/2,007.15
  6. Step 6: Final answer
    x = 819.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.