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Finding the Fourth Proportional to 2,249, 3,373.74 and 605.52

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Solution

The fourth proportional to 2,249, 3,373.74 and 605.52 is: 908.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249 : 3,373.74 = 605.52 : x
  2. Step 2: Convert to fraction form
    2,249/3,373.74 = 605.52/x
  3. Step 3: Cross multiply
    2,249x = 3,373.74 × 605.52
  4. Step 4: Simplify right side
    2,249x = 2,042,867.04
  5. Step 5: Solve for x
    x = 2,042,867.04/2,249
  6. Step 6: Final answer
    x = 908.34

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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.