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Finding the Fourth Proportional to 2,459.69, 3,682.47 and 2,286.70

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Solution

The fourth proportional to 2,459.69, 3,682.47 and 2,286.70 is: 3,423.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.69 : 3,682.47 = 2,286.70 : x
  2. Step 2: Convert to fraction form
    2,459.69/3,682.47 = 2,286.70/x
  3. Step 3: Cross multiply
    2,459.69x = 3,682.47 × 2,286.70
  4. Step 4: Simplify right side
    2,459.69x = 8,420,704.15
  5. Step 5: Solve for x
    x = 8,420,704.15/2,459.69
  6. Step 6: Final answer
    x = 3,423.48

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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.