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Finding the Fourth Proportional to 2,459.62, 3,687.59 and 2,212.09

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Solution

The fourth proportional to 2,459.62, 3,687.59 and 2,212.09 is: 3,316.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.62 : 3,687.59 = 2,212.09 : x
  2. Step 2: Convert to fraction form
    2,459.62/3,687.59 = 2,212.09/x
  3. Step 3: Cross multiply
    2,459.62x = 3,687.59 × 2,212.09
  4. Step 4: Simplify right side
    2,459.62x = 8,157,280.96
  5. Step 5: Solve for x
    x = 8,157,280.96/2,459.62
  6. Step 6: Final answer
    x = 3,316.48

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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.