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Finding the Fourth Proportional to 1,898.25, 2,846.82 and 665.43

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Solution

The fourth proportional to 1,898.25, 2,846.82 and 665.43 is: 997.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.25 : 2,846.82 = 665.43 : x
  2. Step 2: Convert to fraction form
    1,898.25/2,846.82 = 665.43/x
  3. Step 3: Cross multiply
    1,898.25x = 2,846.82 × 665.43
  4. Step 4: Simplify right side
    1,898.25x = 1,894,359.43
  5. Step 5: Solve for x
    x = 1,894,359.43/1,898.25
  6. Step 6: Final answer
    x = 997.95

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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.