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Finding the Fourth Proportional to 1,361.43, 2,041.93 and 374.31

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Solution

The fourth proportional to 1,361.43, 2,041.93 and 374.31 is: 561.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.43 : 2,041.93 = 374.31 : x
  2. Step 2: Convert to fraction form
    1,361.43/2,041.93 = 374.31/x
  3. Step 3: Cross multiply
    1,361.43x = 2,041.93 × 374.31
  4. Step 4: Simplify right side
    1,361.43x = 764,324.02
  5. Step 5: Solve for x
    x = 764,324.02/1,361.43
  6. Step 6: Final answer
    x = 561.41

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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.