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Finding the Fourth Proportional to 1,998.78, 2,758.24 and 1,114.54

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Solution

The fourth proportional to 1,998.78, 2,758.24 and 1,114.54 is: 1,538.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.78 : 2,758.24 = 1,114.54 : x
  2. Step 2: Convert to fraction form
    1,998.78/2,758.24 = 1,114.54/x
  3. Step 3: Cross multiply
    1,998.78x = 2,758.24 × 1,114.54
  4. Step 4: Simplify right side
    1,998.78x = 3,074,168.81
  5. Step 5: Solve for x
    x = 3,074,168.81/1,998.78
  6. Step 6: Final answer
    x = 1,538.02

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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.