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Finding the Fourth Proportional to 1,589.26, 2,193.22 and 890.68

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Solution

The fourth proportional to 1,589.26, 2,193.22 and 890.68 is: 1,229.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.26 : 2,193.22 = 890.68 : x
  2. Step 2: Convert to fraction form
    1,589.26/2,193.22 = 890.68/x
  3. Step 3: Cross multiply
    1,589.26x = 2,193.22 × 890.68
  4. Step 4: Simplify right side
    1,589.26x = 1,953,457.19
  5. Step 5: Solve for x
    x = 1,953,457.19/1,589.26
  6. Step 6: Final answer
    x = 1,229.16

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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.