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Finding the Fourth Proportional to 2,998.11, 4,497.22 and 1,149.32

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Solution

The fourth proportional to 2,998.11, 4,497.22 and 1,149.32 is: 1,724.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.11 : 4,497.22 = 1,149.32 : x
  2. Step 2: Convert to fraction form
    2,998.11/4,497.22 = 1,149.32/x
  3. Step 3: Cross multiply
    2,998.11x = 4,497.22 × 1,149.32
  4. Step 4: Simplify right side
    2,998.11x = 5,168,751.11
  5. Step 5: Solve for x
    x = 5,168,751.11/2,998.11
  6. Step 6: Final answer
    x = 1,724.00

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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.