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Finding the Fourth Proportional to 2,692.35, 4,038.26 and 1,691.73

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Solution

The fourth proportional to 2,692.35, 4,038.26 and 1,691.73 is: 2,537.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.35 : 4,038.26 = 1,691.73 : x
  2. Step 2: Convert to fraction form
    2,692.35/4,038.26 = 1,691.73/x
  3. Step 3: Cross multiply
    2,692.35x = 4,038.26 × 1,691.73
  4. Step 4: Simplify right side
    2,692.35x = 6,831,637.13
  5. Step 5: Solve for x
    x = 6,831,637.13/2,692.35
  6. Step 6: Final answer
    x = 2,537.43

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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.