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Finding the Fourth Proportional to 3,035.91, 4,553.71 and 844.66

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Solution

The fourth proportional to 3,035.91, 4,553.71 and 844.66 is: 1,266.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,035.91 : 4,553.71 = 844.66 : x
  2. Step 2: Convert to fraction form
    3,035.91/4,553.71 = 844.66/x
  3. Step 3: Cross multiply
    3,035.91x = 4,553.71 × 844.66
  4. Step 4: Simplify right side
    3,035.91x = 3,846,336.69
  5. Step 5: Solve for x
    x = 3,846,336.69/3,035.91
  6. Step 6: Final answer
    x = 1,266.95

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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.