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Finding the Fourth Proportional to 1,990.37, 2,983.57 and 1,000.16

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Solution

The fourth proportional to 1,990.37, 2,983.57 and 1,000.16 is: 1,499.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.37 : 2,983.57 = 1,000.16 : x
  2. Step 2: Convert to fraction form
    1,990.37/2,983.57 = 1,000.16/x
  3. Step 3: Cross multiply
    1,990.37x = 2,983.57 × 1,000.16
  4. Step 4: Simplify right side
    1,990.37x = 2,984,047.37
  5. Step 5: Solve for x
    x = 2,984,047.37/1,990.37
  6. Step 6: Final answer
    x = 1,499.24

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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.