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Finding the Fourth Proportional to 4,185.80, 6,278.70 and 1,998.80

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Solution

The fourth proportional to 4,185.80, 6,278.70 and 1,998.80 is: 2,998.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.80 : 6,278.70 = 1,998.80 : x
  2. Step 2: Convert to fraction form
    4,185.80/6,278.70 = 1,998.80/x
  3. Step 3: Cross multiply
    4,185.80x = 6,278.70 × 1,998.80
  4. Step 4: Simplify right side
    4,185.80x = 12,549,865.56
  5. Step 5: Solve for x
    x = 12,549,865.56/4,185.80
  6. Step 6: Final answer
    x = 2,998.20

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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.