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Finding the Fourth Proportional to 1,950.95, 2,692.68 and 1,165.43

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Solution

The fourth proportional to 1,950.95, 2,692.68 and 1,165.43 is: 1,608.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.95 : 2,692.68 = 1,165.43 : x
  2. Step 2: Convert to fraction form
    1,950.95/2,692.68 = 1,165.43/x
  3. Step 3: Cross multiply
    1,950.95x = 2,692.68 × 1,165.43
  4. Step 4: Simplify right side
    1,950.95x = 3,138,130.05
  5. Step 5: Solve for x
    x = 3,138,130.05/1,950.95
  6. Step 6: Final answer
    x = 1,608.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.