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Finding the Fourth Proportional to 2,355.75, 3,251.12 and 1,361.36

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Solution

The fourth proportional to 2,355.75, 3,251.12 and 1,361.36 is: 1,878.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.75 : 3,251.12 = 1,361.36 : x
  2. Step 2: Convert to fraction form
    2,355.75/3,251.12 = 1,361.36/x
  3. Step 3: Cross multiply
    2,355.75x = 3,251.12 × 1,361.36
  4. Step 4: Simplify right side
    2,355.75x = 4,425,946.04
  5. Step 5: Solve for x
    x = 4,425,946.04/2,355.75
  6. Step 6: Final answer
    x = 1,878.78

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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.