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Finding the Fourth Proportional to 4,164.41, 6,245.10 and 1,241.73

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Solution

The fourth proportional to 4,164.41, 6,245.10 and 1,241.73 is: 1,862.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.41 : 6,245.10 = 1,241.73 : x
  2. Step 2: Convert to fraction form
    4,164.41/6,245.10 = 1,241.73/x
  3. Step 3: Cross multiply
    4,164.41x = 6,245.10 × 1,241.73
  4. Step 4: Simplify right side
    4,164.41x = 7,754,728.02
  5. Step 5: Solve for x
    x = 7,754,728.02/4,164.41
  6. Step 6: Final answer
    x = 1,862.14

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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.