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Finding the Fourth Proportional to 2,086.24, 3,129.82 and 605.48

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Solution

The fourth proportional to 2,086.24, 3,129.82 and 605.48 is: 908.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.24 : 3,129.82 = 605.48 : x
  2. Step 2: Convert to fraction form
    2,086.24/3,129.82 = 605.48/x
  3. Step 3: Cross multiply
    2,086.24x = 3,129.82 × 605.48
  4. Step 4: Simplify right side
    2,086.24x = 1,895,051.34
  5. Step 5: Solve for x
    x = 1,895,051.34/2,086.24
  6. Step 6: Final answer
    x = 908.36

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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.