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Finding the Fourth Proportional to 2,062.30, 3,094.45 and 966.46

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Solution

The fourth proportional to 2,062.30, 3,094.45 and 966.46 is: 1,450.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.30 : 3,094.45 = 966.46 : x
  2. Step 2: Convert to fraction form
    2,062.30/3,094.45 = 966.46/x
  3. Step 3: Cross multiply
    2,062.30x = 3,094.45 × 966.46
  4. Step 4: Simplify right side
    2,062.30x = 2,990,662.15
  5. Step 5: Solve for x
    x = 2,990,662.15/2,062.30
  6. Step 6: Final answer
    x = 1,450.16

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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.