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Finding the Fourth Proportional to 1,589.93, 2,384.94 and 849.22

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Solution

The fourth proportional to 1,589.93, 2,384.94 and 849.22 is: 1,273.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.93 : 2,384.94 = 849.22 : x
  2. Step 2: Convert to fraction form
    1,589.93/2,384.94 = 849.22/x
  3. Step 3: Cross multiply
    1,589.93x = 2,384.94 × 849.22
  4. Step 4: Simplify right side
    1,589.93x = 2,025,335.97
  5. Step 5: Solve for x
    x = 2,025,335.97/1,589.93
  6. Step 6: Final answer
    x = 1,273.85

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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.