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Finding the Fourth Proportional to 1,998.52, 2,758.80 and 1,212.82

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Solution

The fourth proportional to 1,998.52, 2,758.80 and 1,212.82 is: 1,674.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.52 : 2,758.80 = 1,212.82 : x
  2. Step 2: Convert to fraction form
    1,998.52/2,758.80 = 1,212.82/x
  3. Step 3: Cross multiply
    1,998.52x = 2,758.80 × 1,212.82
  4. Step 4: Simplify right side
    1,998.52x = 3,345,927.82
  5. Step 5: Solve for x
    x = 3,345,927.82/1,998.52
  6. Step 6: Final answer
    x = 1,674.20

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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.