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Finding the Fourth Proportional to 1,837.31, 2,755.97 and 469.31

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Solution

The fourth proportional to 1,837.31, 2,755.97 and 469.31 is: 703.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.31 : 2,755.97 = 469.31 : x
  2. Step 2: Convert to fraction form
    1,837.31/2,755.97 = 469.31/x
  3. Step 3: Cross multiply
    1,837.31x = 2,755.97 × 469.31
  4. Step 4: Simplify right side
    1,837.31x = 1,293,404.28
  5. Step 5: Solve for x
    x = 1,293,404.28/1,837.31
  6. Step 6: Final answer
    x = 703.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.