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Finding the Fourth Proportional to 2,378.82, 3,568.25 and 1,062.64

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Solution

The fourth proportional to 2,378.82, 3,568.25 and 1,062.64 is: 1,593.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.82 : 3,568.25 = 1,062.64 : x
  2. Step 2: Convert to fraction form
    2,378.82/3,568.25 = 1,062.64/x
  3. Step 3: Cross multiply
    2,378.82x = 3,568.25 × 1,062.64
  4. Step 4: Simplify right side
    2,378.82x = 3,791,742.03
  5. Step 5: Solve for x
    x = 3,791,742.03/2,378.82
  6. Step 6: Final answer
    x = 1,593.96

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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.