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Finding the Fourth Proportional to 1,796.89, 2,692.87 and 870.60

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Solution

The fourth proportional to 1,796.89, 2,692.87 and 870.60 is: 1,304.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.89 : 2,692.87 = 870.60 : x
  2. Step 2: Convert to fraction form
    1,796.89/2,692.87 = 870.60/x
  3. Step 3: Cross multiply
    1,796.89x = 2,692.87 × 870.60
  4. Step 4: Simplify right side
    1,796.89x = 2,344,412.62
  5. Step 5: Solve for x
    x = 2,344,412.62/1,796.89
  6. Step 6: Final answer
    x = 1,304.71

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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.