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Finding the Fourth Proportional to 2,361.12, 3,258.04 and 1,596.24

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Solution

The fourth proportional to 2,361.12, 3,258.04 and 1,596.24 is: 2,202.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.12 : 3,258.04 = 1,596.24 : x
  2. Step 2: Convert to fraction form
    2,361.12/3,258.04 = 1,596.24/x
  3. Step 3: Cross multiply
    2,361.12x = 3,258.04 × 1,596.24
  4. Step 4: Simplify right side
    2,361.12x = 5,200,625.91
  5. Step 5: Solve for x
    x = 5,200,625.91/2,361.12
  6. Step 6: Final answer
    x = 2,202.61

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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.