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Finding the Fourth Proportional to 3,129.06, 4,692.09 and 1,180.02

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Solution

The fourth proportional to 3,129.06, 4,692.09 and 1,180.02 is: 1,769.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.06 : 4,692.09 = 1,180.02 : x
  2. Step 2: Convert to fraction form
    3,129.06/4,692.09 = 1,180.02/x
  3. Step 3: Cross multiply
    3,129.06x = 4,692.09 × 1,180.02
  4. Step 4: Simplify right side
    3,129.06x = 5,536,760.04
  5. Step 5: Solve for x
    x = 5,536,760.04/3,129.06
  6. Step 6: Final answer
    x = 1,769.46

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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.