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Finding the Fourth Proportional to 1,588.36, 2,191.96 and 889.73

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Solution

The fourth proportional to 1,588.36, 2,191.96 and 889.73 is: 1,227.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.36 : 2,191.96 = 889.73 : x
  2. Step 2: Convert to fraction form
    1,588.36/2,191.96 = 889.73/x
  3. Step 3: Cross multiply
    1,588.36x = 2,191.96 × 889.73
  4. Step 4: Simplify right side
    1,588.36x = 1,950,263.27
  5. Step 5: Solve for x
    x = 1,950,263.27/1,588.36
  6. Step 6: Final answer
    x = 1,227.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.