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Finding the Fourth Proportional to 2,297.82, 3,423.90 and 2,186.24

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Solution

The fourth proportional to 2,297.82, 3,423.90 and 2,186.24 is: 3,257.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.82 : 3,423.90 = 2,186.24 : x
  2. Step 2: Convert to fraction form
    2,297.82/3,423.90 = 2,186.24/x
  3. Step 3: Cross multiply
    2,297.82x = 3,423.90 × 2,186.24
  4. Step 4: Simplify right side
    2,297.82x = 7,485,467.14
  5. Step 5: Solve for x
    x = 7,485,467.14/2,297.82
  6. Step 6: Final answer
    x = 3,257.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.