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Finding the Fourth Proportional to 1,589.82, 2,387.09 and 897.81

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Solution

The fourth proportional to 1,589.82, 2,387.09 and 897.81 is: 1,348.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.82 : 2,387.09 = 897.81 : x
  2. Step 2: Convert to fraction form
    1,589.82/2,387.09 = 897.81/x
  3. Step 3: Cross multiply
    1,589.82x = 2,387.09 × 897.81
  4. Step 4: Simplify right side
    1,589.82x = 2,143,153.27
  5. Step 5: Solve for x
    x = 2,143,153.27/1,589.82
  6. Step 6: Final answer
    x = 1,348.05

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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.