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Finding the Fourth Proportional to 4,191.66, 6,288.30 and 1,998.90

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Solution

The fourth proportional to 4,191.66, 6,288.30 and 1,998.90 is: 2,998.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.66 : 6,288.30 = 1,998.90 : x
  2. Step 2: Convert to fraction form
    4,191.66/6,288.30 = 1,998.90/x
  3. Step 3: Cross multiply
    4,191.66x = 6,288.30 × 1,998.90
  4. Step 4: Simplify right side
    4,191.66x = 12,569,682.87
  5. Step 5: Solve for x
    x = 12,569,682.87/4,191.66
  6. Step 6: Final answer
    x = 2,998.74

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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.