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Finding the Fourth Proportional to 1,589.07, 2,193.06 and 890.43

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Solution

The fourth proportional to 1,589.07, 2,193.06 and 890.43 is: 1,228.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.07 : 2,193.06 = 890.43 : x
  2. Step 2: Convert to fraction form
    1,589.07/2,193.06 = 890.43/x
  3. Step 3: Cross multiply
    1,589.07x = 2,193.06 × 890.43
  4. Step 4: Simplify right side
    1,589.07x = 1,952,766.42
  5. Step 5: Solve for x
    x = 1,952,766.42/1,589.07
  6. Step 6: Final answer
    x = 1,228.87

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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.