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Finding the Fourth Proportional to 2,361.20, 3,541.80 and 1,128.20

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Solution

The fourth proportional to 2,361.20, 3,541.80 and 1,128.20 is: 1,692.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.20 : 3,541.80 = 1,128.20 : x
  2. Step 2: Convert to fraction form
    2,361.20/3,541.80 = 1,128.20/x
  3. Step 3: Cross multiply
    2,361.20x = 3,541.80 × 1,128.20
  4. Step 4: Simplify right side
    2,361.20x = 3,995,858.76
  5. Step 5: Solve for x
    x = 3,995,858.76/2,361.20
  6. Step 6: Final answer
    x = 1,692.30

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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.