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Finding the Fourth Proportional to 1,896.90, 2,845.12 and 510.33

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Solution

The fourth proportional to 1,896.90, 2,845.12 and 510.33 is: 765.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.90 : 2,845.12 = 510.33 : x
  2. Step 2: Convert to fraction form
    1,896.90/2,845.12 = 510.33/x
  3. Step 3: Cross multiply
    1,896.90x = 2,845.12 × 510.33
  4. Step 4: Simplify right side
    1,896.90x = 1,451,950.09
  5. Step 5: Solve for x
    x = 1,451,950.09/1,896.90
  6. Step 6: Final answer
    x = 765.43

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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.