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Finding the Fourth Proportional to 1,588.15, 2,191.67 and 889.53

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Solution

The fourth proportional to 1,588.15, 2,191.67 and 889.53 is: 1,227.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.15 : 2,191.67 = 889.53 : x
  2. Step 2: Convert to fraction form
    1,588.15/2,191.67 = 889.53/x
  3. Step 3: Cross multiply
    1,588.15x = 2,191.67 × 889.53
  4. Step 4: Simplify right side
    1,588.15x = 1,949,556.22
  5. Step 5: Solve for x
    x = 1,949,556.22/1,588.15
  6. Step 6: Final answer
    x = 1,227.56

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