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Finding the Fourth Proportional to 1,589.89, 2,193.87 and 926.68

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Solution

The fourth proportional to 1,589.89, 2,193.87 and 926.68 is: 1,278.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.89 : 2,193.87 = 926.68 : x
  2. Step 2: Convert to fraction form
    1,589.89/2,193.87 = 926.68/x
  3. Step 3: Cross multiply
    1,589.89x = 2,193.87 × 926.68
  4. Step 4: Simplify right side
    1,589.89x = 2,033,015.45
  5. Step 5: Solve for x
    x = 2,033,015.45/1,589.89
  6. Step 6: Final answer
    x = 1,278.71

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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.