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Finding the Fourth Proportional to 1,690.83, 2,533.20 and 1,589.17

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Solution

The fourth proportional to 1,690.83, 2,533.20 and 1,589.17 is: 2,380.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.83 : 2,533.20 = 1,589.17 : x
  2. Step 2: Convert to fraction form
    1,690.83/2,533.20 = 1,589.17/x
  3. Step 3: Cross multiply
    1,690.83x = 2,533.20 × 1,589.17
  4. Step 4: Simplify right side
    1,690.83x = 4,025,685.44
  5. Step 5: Solve for x
    x = 4,025,685.44/1,690.83
  6. Step 6: Final answer
    x = 2,380.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.