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Finding the Fourth Proportional to 2,419.61, 3,628.05 and 2,213.21

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Solution

The fourth proportional to 2,419.61, 3,628.05 and 2,213.21 is: 3,318.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.61 : 3,628.05 = 2,213.21 : x
  2. Step 2: Convert to fraction form
    2,419.61/3,628.05 = 2,213.21/x
  3. Step 3: Cross multiply
    2,419.61x = 3,628.05 × 2,213.21
  4. Step 4: Simplify right side
    2,419.61x = 8,029,636.54
  5. Step 5: Solve for x
    x = 8,029,636.54/2,419.61
  6. Step 6: Final answer
    x = 3,318.57

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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.