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Finding the Fourth Proportional to 2,284.80, 3,427.33 and 724.69

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Solution

The fourth proportional to 2,284.80, 3,427.33 and 724.69 is: 1,087.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.80 : 3,427.33 = 724.69 : x
  2. Step 2: Convert to fraction form
    2,284.80/3,427.33 = 724.69/x
  3. Step 3: Cross multiply
    2,284.80x = 3,427.33 × 724.69
  4. Step 4: Simplify right side
    2,284.80x = 2,483,748.15
  5. Step 5: Solve for x
    x = 2,483,748.15/2,284.80
  6. Step 6: Final answer
    x = 1,087.07

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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.