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Finding the Fourth Proportional to 2,014.82, 3,022.32 and 716.48

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Solution

The fourth proportional to 2,014.82, 3,022.32 and 716.48 is: 1,074.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.82 : 3,022.32 = 716.48 : x
  2. Step 2: Convert to fraction form
    2,014.82/3,022.32 = 716.48/x
  3. Step 3: Cross multiply
    2,014.82x = 3,022.32 × 716.48
  4. Step 4: Simplify right side
    2,014.82x = 2,165,431.83
  5. Step 5: Solve for x
    x = 2,165,431.83/2,014.82
  6. Step 6: Final answer
    x = 1,074.75

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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.