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Finding the Fourth Proportional to 2,072.00, 3,107.90 and 511.92

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Solution

The fourth proportional to 2,072.00, 3,107.90 and 511.92 is: 767.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.00 : 3,107.90 = 511.92 : x
  2. Step 2: Convert to fraction form
    2,072.00/3,107.90 = 511.92/x
  3. Step 3: Cross multiply
    2,072.00x = 3,107.90 × 511.92
  4. Step 4: Simplify right side
    2,072.00x = 1,590,993.61
  5. Step 5: Solve for x
    x = 1,590,993.61/2,072.00
  6. Step 6: Final answer
    x = 767.86

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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.