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Finding the Fourth Proportional to 3,242.43, 4,476.60 and 2,300.22

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Solution

The fourth proportional to 3,242.43, 4,476.60 and 2,300.22 is: 3,175.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.43 : 4,476.60 = 2,300.22 : x
  2. Step 2: Convert to fraction form
    3,242.43/4,476.60 = 2,300.22/x
  3. Step 3: Cross multiply
    3,242.43x = 4,476.60 × 2,300.22
  4. Step 4: Simplify right side
    3,242.43x = 10,297,164.85
  5. Step 5: Solve for x
    x = 10,297,164.85/3,242.43
  6. Step 6: Final answer
    x = 3,175.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.