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Finding the Fourth Proportional to 1,998.49, 2,758.06 and 1,114.33

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Solution

The fourth proportional to 1,998.49, 2,758.06 and 1,114.33 is: 1,537.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.49 : 2,758.06 = 1,114.33 : x
  2. Step 2: Convert to fraction form
    1,998.49/2,758.06 = 1,114.33/x
  3. Step 3: Cross multiply
    1,998.49x = 2,758.06 × 1,114.33
  4. Step 4: Simplify right side
    1,998.49x = 3,073,389.00
  5. Step 5: Solve for x
    x = 3,073,389.00/1,998.49
  6. Step 6: Final answer
    x = 1,537.86

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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.