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Finding the Fourth Proportional to 2,249.59, 3,374.00 and 605.77

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Solution

The fourth proportional to 2,249.59, 3,374.00 and 605.77 is: 908.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.59 : 3,374.00 = 605.77 : x
  2. Step 2: Convert to fraction form
    2,249.59/3,374.00 = 605.77/x
  3. Step 3: Cross multiply
    2,249.59x = 3,374.00 × 605.77
  4. Step 4: Simplify right side
    2,249.59x = 2,043,848.08
  5. Step 5: Solve for x
    x = 2,043,848.08/2,249.59
  6. Step 6: Final answer
    x = 908.54

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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.