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Finding the Fourth Proportional to 2,284.67, 3,427.18 and 724.79

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Solution

The fourth proportional to 2,284.67, 3,427.18 and 724.79 is: 1,087.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.67 : 3,427.18 = 724.79 : x
  2. Step 2: Convert to fraction form
    2,284.67/3,427.18 = 724.79/x
  3. Step 3: Cross multiply
    2,284.67x = 3,427.18 × 724.79
  4. Step 4: Simplify right side
    2,284.67x = 2,483,992.55
  5. Step 5: Solve for x
    x = 2,483,992.55/2,284.67
  6. Step 6: Final answer
    x = 1,087.24

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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.