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Finding the Fourth Proportional to 2,435.36, 3,361.11 and 1,596.77

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Solution

The fourth proportional to 2,435.36, 3,361.11 and 1,596.77 is: 2,203.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.36 : 3,361.11 = 1,596.77 : x
  2. Step 2: Convert to fraction form
    2,435.36/3,361.11 = 1,596.77/x
  3. Step 3: Cross multiply
    2,435.36x = 3,361.11 × 1,596.77
  4. Step 4: Simplify right side
    2,435.36x = 5,366,928.02
  5. Step 5: Solve for x
    x = 5,366,928.02/2,435.36
  6. Step 6: Final answer
    x = 2,203.75

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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.