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Finding the Fourth Proportional to 2,404.81, 3,608.82 and 844.83

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Solution

The fourth proportional to 2,404.81, 3,608.82 and 844.83 is: 1,267.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.81 : 3,608.82 = 844.83 : x
  2. Step 2: Convert to fraction form
    2,404.81/3,608.82 = 844.83/x
  3. Step 3: Cross multiply
    2,404.81x = 3,608.82 × 844.83
  4. Step 4: Simplify right side
    2,404.81x = 3,048,839.40
  5. Step 5: Solve for x
    x = 3,048,839.40/2,404.81
  6. Step 6: Final answer
    x = 1,267.81

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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.