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Finding the Fourth Proportional to 1,897.31, 2,846.10 and 665.03

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Solution

The fourth proportional to 1,897.31, 2,846.10 and 665.03 is: 997.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.31 : 2,846.10 = 665.03 : x
  2. Step 2: Convert to fraction form
    1,897.31/2,846.10 = 665.03/x
  3. Step 3: Cross multiply
    1,897.31x = 2,846.10 × 665.03
  4. Step 4: Simplify right side
    1,897.31x = 1,892,727.65
  5. Step 5: Solve for x
    x = 1,892,727.65/1,897.31
  6. Step 6: Final answer
    x = 997.59

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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.