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Finding the Fourth Proportional to 1,998.23, 2,758.05 and 1,212.13

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Solution

The fourth proportional to 1,998.23, 2,758.05 and 1,212.13 is: 1,673.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.23 : 2,758.05 = 1,212.13 : x
  2. Step 2: Convert to fraction form
    1,998.23/2,758.05 = 1,212.13/x
  3. Step 3: Cross multiply
    1,998.23x = 2,758.05 × 1,212.13
  4. Step 4: Simplify right side
    1,998.23x = 3,343,095.30
  5. Step 5: Solve for x
    x = 3,343,095.30/1,998.23
  6. Step 6: Final answer
    x = 1,673.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.