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Finding the Fourth Proportional to 2,062.80, 3,094.68 and 966.57

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Solution

The fourth proportional to 2,062.80, 3,094.68 and 966.57 is: 1,450.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.80 : 3,094.68 = 966.57 : x
  2. Step 2: Convert to fraction form
    2,062.80/3,094.68 = 966.57/x
  3. Step 3: Cross multiply
    2,062.80x = 3,094.68 × 966.57
  4. Step 4: Simplify right side
    2,062.80x = 2,991,224.85
  5. Step 5: Solve for x
    x = 2,991,224.85/2,062.80
  6. Step 6: Final answer
    x = 1,450.08

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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.