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Finding the Fourth Proportional to 1,420.35, 1,947.85 and 1,361.22

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Solution

The fourth proportional to 1,420.35, 1,947.85 and 1,361.22 is: 1,866.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.35 : 1,947.85 = 1,361.22 : x
  2. Step 2: Convert to fraction form
    1,420.35/1,947.85 = 1,361.22/x
  3. Step 3: Cross multiply
    1,420.35x = 1,947.85 × 1,361.22
  4. Step 4: Simplify right side
    1,420.35x = 2,651,452.38
  5. Step 5: Solve for x
    x = 2,651,452.38/1,420.35
  6. Step 6: Final answer
    x = 1,866.76

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.