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Finding the Fourth Proportional to 1,951.34, 2,692.77 and 1,164.83

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Solution

The fourth proportional to 1,951.34, 2,692.77 and 1,164.83 is: 1,607.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.34 : 2,692.77 = 1,164.83 : x
  2. Step 2: Convert to fraction form
    1,951.34/2,692.77 = 1,164.83/x
  3. Step 3: Cross multiply
    1,951.34x = 2,692.77 × 1,164.83
  4. Step 4: Simplify right side
    1,951.34x = 3,136,605.82
  5. Step 5: Solve for x
    x = 3,136,605.82/1,951.34
  6. Step 6: Final answer
    x = 1,607.42

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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.