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Finding the Fourth Proportional to 3,431.23, 5,146.64 and 965.99

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Solution

The fourth proportional to 3,431.23, 5,146.64 and 965.99 is: 1,448.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.23 : 5,146.64 = 965.99 : x
  2. Step 2: Convert to fraction form
    3,431.23/5,146.64 = 965.99/x
  3. Step 3: Cross multiply
    3,431.23x = 5,146.64 × 965.99
  4. Step 4: Simplify right side
    3,431.23x = 4,971,614.43
  5. Step 5: Solve for x
    x = 4,971,614.43/3,431.23
  6. Step 6: Final answer
    x = 1,448.93

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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.