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Finding the Fourth Proportional to 1,361.22, 2,041.65 and 387.41

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Solution

The fourth proportional to 1,361.22, 2,041.65 and 387.41 is: 581.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.22 : 2,041.65 = 387.41 : x
  2. Step 2: Convert to fraction form
    1,361.22/2,041.65 = 387.41/x
  3. Step 3: Cross multiply
    1,361.22x = 2,041.65 × 387.41
  4. Step 4: Simplify right side
    1,361.22x = 790,945.42
  5. Step 5: Solve for x
    x = 790,945.42/1,361.22
  6. Step 6: Final answer
    x = 581.06

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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.