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Finding the Fourth Proportional to 2,454.74, 3,682.07 and 605.89

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Solution

The fourth proportional to 2,454.74, 3,682.07 and 605.89 is: 908.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.74 : 3,682.07 = 605.89 : x
  2. Step 2: Convert to fraction form
    2,454.74/3,682.07 = 605.89/x
  3. Step 3: Cross multiply
    2,454.74x = 3,682.07 × 605.89
  4. Step 4: Simplify right side
    2,454.74x = 2,230,933.24
  5. Step 5: Solve for x
    x = 2,230,933.24/2,454.74
  6. Step 6: Final answer
    x = 908.83

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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.