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Finding the Fourth Proportional to 2,486.54, 3,730.89 and 2,213.30

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Solution

The fourth proportional to 2,486.54, 3,730.89 and 2,213.30 is: 3,320.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.54 : 3,730.89 = 2,213.30 : x
  2. Step 2: Convert to fraction form
    2,486.54/3,730.89 = 2,213.30/x
  3. Step 3: Cross multiply
    2,486.54x = 3,730.89 × 2,213.30
  4. Step 4: Simplify right side
    2,486.54x = 8,257,578.84
  5. Step 5: Solve for x
    x = 8,257,578.84/2,486.54
  6. Step 6: Final answer
    x = 3,320.91

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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.