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Finding the Fourth Proportional to 1,211.89, 1,661.48 and 1,190.02

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Solution

The fourth proportional to 1,211.89, 1,661.48 and 1,190.02 is: 1,631.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.89 : 1,661.48 = 1,190.02 : x
  2. Step 2: Convert to fraction form
    1,211.89/1,661.48 = 1,190.02/x
  3. Step 3: Cross multiply
    1,211.89x = 1,661.48 × 1,190.02
  4. Step 4: Simplify right side
    1,211.89x = 1,977,194.43
  5. Step 5: Solve for x
    x = 1,977,194.43/1,211.89
  6. Step 6: Final answer
    x = 1,631.50

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.