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Finding the Fourth Proportional to 2,419.12, 3,629.29 and 958.29

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Solution

The fourth proportional to 2,419.12, 3,629.29 and 958.29 is: 1,437.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.12 : 3,629.29 = 958.29 : x
  2. Step 2: Convert to fraction form
    2,419.12/3,629.29 = 958.29/x
  3. Step 3: Cross multiply
    2,419.12x = 3,629.29 × 958.29
  4. Step 4: Simplify right side
    2,419.12x = 3,477,912.31
  5. Step 5: Solve for x
    x = 3,477,912.31/2,419.12
  6. Step 6: Final answer
    x = 1,437.68

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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.