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Finding the Fourth Proportional to 4,014.66, 6,022.10 and 1,241.33

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Solution

The fourth proportional to 4,014.66, 6,022.10 and 1,241.33 is: 1,862.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,014.66 : 6,022.10 = 1,241.33 : x
  2. Step 2: Convert to fraction form
    4,014.66/6,022.10 = 1,241.33/x
  3. Step 3: Cross multiply
    4,014.66x = 6,022.10 × 1,241.33
  4. Step 4: Simplify right side
    4,014.66x = 7,475,379.40
  5. Step 5: Solve for x
    x = 7,475,379.40/4,014.66
  6. Step 6: Final answer
    x = 1,862.02

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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.