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Finding the Fourth Proportional to 1,995.57, 2,983.50 and 1,690.83

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Solution

The fourth proportional to 1,995.57, 2,983.50 and 1,690.83 is: 2,527.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.57 : 2,983.50 = 1,690.83 : x
  2. Step 2: Convert to fraction form
    1,995.57/2,983.50 = 1,690.83/x
  3. Step 3: Cross multiply
    1,995.57x = 2,983.50 × 1,690.83
  4. Step 4: Simplify right side
    1,995.57x = 5,044,591.31
  5. Step 5: Solve for x
    x = 5,044,591.31/1,995.57
  6. Step 6: Final answer
    x = 2,527.89

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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.