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Finding the Fourth Proportional to 2,419.29, 3,629.21 and 687.96

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Solution

The fourth proportional to 2,419.29, 3,629.21 and 687.96 is: 1,032.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.29 : 3,629.21 = 687.96 : x
  2. Step 2: Convert to fraction form
    2,419.29/3,629.21 = 687.96/x
  3. Step 3: Cross multiply
    2,419.29x = 3,629.21 × 687.96
  4. Step 4: Simplify right side
    2,419.29x = 2,496,747.87
  5. Step 5: Solve for x
    x = 2,496,747.87/2,419.29
  6. Step 6: Final answer
    x = 1,032.02

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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.