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Finding the Fourth Proportional to 3,213.93, 4,815 and 2,697.24

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Solution

The fourth proportional to 3,213.93, 4,815 and 2,697.24 is: 4,040.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.93 : 4,815 = 2,697.24 : x
  2. Step 2: Convert to fraction form
    3,213.93/4,815 = 2,697.24/x
  3. Step 3: Cross multiply
    3,213.93x = 4,815 × 2,697.24
  4. Step 4: Simplify right side
    3,213.93x = 12,987,210.60
  5. Step 5: Solve for x
    x = 12,987,210.60/3,213.93
  6. Step 6: Final answer
    x = 4,040.91

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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.