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Finding the Fourth Proportional to 1,589.81, 2,194.62 and 1,490.18

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Solution

The fourth proportional to 1,589.81, 2,194.62 and 1,490.18 is: 2,057.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.81 : 2,194.62 = 1,490.18 : x
  2. Step 2: Convert to fraction form
    1,589.81/2,194.62 = 1,490.18/x
  3. Step 3: Cross multiply
    1,589.81x = 2,194.62 × 1,490.18
  4. Step 4: Simplify right side
    1,589.81x = 3,270,381.68
  5. Step 5: Solve for x
    x = 3,270,381.68/1,589.81
  6. Step 6: Final answer
    x = 2,057.09

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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.