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Finding the Fourth Proportional to 2,436.75, 3,361.50 and 1,552.50

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Solution

The fourth proportional to 2,436.75, 3,361.50 and 1,552.50 is: 2,141.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436.75 : 3,361.50 = 1,552.50 : x
  2. Step 2: Convert to fraction form
    2,436.75/3,361.50 = 1,552.50/x
  3. Step 3: Cross multiply
    2,436.75x = 3,361.50 × 1,552.50
  4. Step 4: Simplify right side
    2,436.75x = 5,218,728.75
  5. Step 5: Solve for x
    x = 5,218,728.75/2,436.75
  6. Step 6: Final answer
    x = 2,141.68

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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.