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Finding the Fourth Proportional to 2,361.38, 3,258.81 and 1,313.44

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Solution

The fourth proportional to 2,361.38, 3,258.81 and 1,313.44 is: 1,812.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.38 : 3,258.81 = 1,313.44 : x
  2. Step 2: Convert to fraction form
    2,361.38/3,258.81 = 1,313.44/x
  3. Step 3: Cross multiply
    2,361.38x = 3,258.81 × 1,313.44
  4. Step 4: Simplify right side
    2,361.38x = 4,280,243.26
  5. Step 5: Solve for x
    x = 4,280,243.26/2,361.38
  6. Step 6: Final answer
    x = 1,812.61

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Why These Related Problems?

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