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Finding the Fourth Proportional to 2,007.14, 3,010.87 and 546.30

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Solution

The fourth proportional to 2,007.14, 3,010.87 and 546.30 is: 819.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.14 : 3,010.87 = 546.30 : x
  2. Step 2: Convert to fraction form
    2,007.14/3,010.87 = 546.30/x
  3. Step 3: Cross multiply
    2,007.14x = 3,010.87 × 546.30
  4. Step 4: Simplify right side
    2,007.14x = 1,644,838.28
  5. Step 5: Solve for x
    x = 1,644,838.28/2,007.14
  6. Step 6: Final answer
    x = 819.49

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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.