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Finding the Fourth Proportional to 1,990.80, 2,983.74 and 690.75

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Solution

The fourth proportional to 1,990.80, 2,983.74 and 690.75 is: 1,035.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.80 : 2,983.74 = 690.75 : x
  2. Step 2: Convert to fraction form
    1,990.80/2,983.74 = 690.75/x
  3. Step 3: Cross multiply
    1,990.80x = 2,983.74 × 690.75
  4. Step 4: Simplify right side
    1,990.80x = 2,061,018.41
  5. Step 5: Solve for x
    x = 2,061,018.41/1,990.80
  6. Step 6: Final answer
    x = 1,035.27

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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.