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Finding the Fourth Proportional to 1,998.36, 2,997.72 and 1,121.16

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Solution

The fourth proportional to 1,998.36, 2,997.72 and 1,121.16 is: 1,681.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.36 : 2,997.72 = 1,121.16 : x
  2. Step 2: Convert to fraction form
    1,998.36/2,997.72 = 1,121.16/x
  3. Step 3: Cross multiply
    1,998.36x = 2,997.72 × 1,121.16
  4. Step 4: Simplify right side
    1,998.36x = 3,360,923.76
  5. Step 5: Solve for x
    x = 3,360,923.76/1,998.36
  6. Step 6: Final answer
    x = 1,681.84

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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.