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Finding the Fourth Proportional to 4,119.97, 6,179.90 and 1,000

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Solution

The fourth proportional to 4,119.97, 6,179.90 and 1,000 is: 1,499.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,119.97 : 6,179.90 = 1,000 : x
  2. Step 2: Convert to fraction form
    4,119.97/6,179.90 = 1,000/x
  3. Step 3: Cross multiply
    4,119.97x = 6,179.90 × 1,000
  4. Step 4: Simplify right side
    4,119.97x = 6,179,900
  5. Step 5: Solve for x
    x = 6,179,900/4,119.97
  6. Step 6: Final answer
    x = 1,499.99

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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.