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Finding the Fourth Proportional to 1,951.36, 2,692.43 and 1,165.25

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Solution

The fourth proportional to 1,951.36, 2,692.43 and 1,165.25 is: 1,607.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.36 : 2,692.43 = 1,165.25 : x
  2. Step 2: Convert to fraction form
    1,951.36/2,692.43 = 1,165.25/x
  3. Step 3: Cross multiply
    1,951.36x = 2,692.43 × 1,165.25
  4. Step 4: Simplify right side
    1,951.36x = 3,137,354.06
  5. Step 5: Solve for x
    x = 3,137,354.06/1,951.36
  6. Step 6: Final answer
    x = 1,607.78

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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.