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Finding the Fourth Proportional to 3,361.36, 5,039.20 and 1,605.40

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Solution

The fourth proportional to 3,361.36, 5,039.20 and 1,605.40 is: 2,406.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.36 : 5,039.20 = 1,605.40 : x
  2. Step 2: Convert to fraction form
    3,361.36/5,039.20 = 1,605.40/x
  3. Step 3: Cross multiply
    3,361.36x = 5,039.20 × 1,605.40
  4. Step 4: Simplify right side
    3,361.36x = 8,089,931.68
  5. Step 5: Solve for x
    x = 8,089,931.68/3,361.36
  6. Step 6: Final answer
    x = 2,406.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.