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Finding the Fourth Proportional to 3,434.15, 5,151.24 and 968.99

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Solution

The fourth proportional to 3,434.15, 5,151.24 and 968.99 is: 1,453.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.15 : 5,151.24 = 968.99 : x
  2. Step 2: Convert to fraction form
    3,434.15/5,151.24 = 968.99/x
  3. Step 3: Cross multiply
    3,434.15x = 5,151.24 × 968.99
  4. Step 4: Simplify right side
    3,434.15x = 4,991,474.29
  5. Step 5: Solve for x
    x = 4,991,474.29/3,434.15
  6. Step 6: Final answer
    x = 1,453.48

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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.