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Finding the Fourth Proportional to 3,431.66, 5,146.97 and 966.02

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Solution

The fourth proportional to 3,431.66, 5,146.97 and 966.02 is: 1,448.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.66 : 5,146.97 = 966.02 : x
  2. Step 2: Convert to fraction form
    3,431.66/5,146.97 = 966.02/x
  3. Step 3: Cross multiply
    3,431.66x = 5,146.97 × 966.02
  4. Step 4: Simplify right side
    3,431.66x = 4,972,045.39
  5. Step 5: Solve for x
    x = 4,972,045.39/3,431.66
  6. Step 6: Final answer
    x = 1,448.88

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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.