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Finding the Fourth Proportional to 1,902.89, 2,854.31 and 1,128.21

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Solution

The fourth proportional to 1,902.89, 2,854.31 and 1,128.21 is: 1,692.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.89 : 2,854.31 = 1,128.21 : x
  2. Step 2: Convert to fraction form
    1,902.89/2,854.31 = 1,128.21/x
  3. Step 3: Cross multiply
    1,902.89x = 2,854.31 × 1,128.21
  4. Step 4: Simplify right side
    1,902.89x = 3,220,255.44
  5. Step 5: Solve for x
    x = 3,220,255.44/1,902.89
  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.