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Finding the Fourth Proportional to 1,998.18, 2,992.86 and 1,176.30

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Solution

The fourth proportional to 1,998.18, 2,992.86 and 1,176.30 is: 1,761.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.18 : 2,992.86 = 1,176.30 : x
  2. Step 2: Convert to fraction form
    1,998.18/2,992.86 = 1,176.30/x
  3. Step 3: Cross multiply
    1,998.18x = 2,992.86 × 1,176.30
  4. Step 4: Simplify right side
    1,998.18x = 3,520,501.22
  5. Step 5: Solve for x
    x = 3,520,501.22/1,998.18
  6. Step 6: Final answer
    x = 1,761.85

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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.