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Finding the Fourth Proportional to 2,419.18, 3,628.82 and 859.21

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Solution

The fourth proportional to 2,419.18, 3,628.82 and 859.21 is: 1,288.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.18 : 3,628.82 = 859.21 : x
  2. Step 2: Convert to fraction form
    2,419.18/3,628.82 = 859.21/x
  3. Step 3: Cross multiply
    2,419.18x = 3,628.82 × 859.21
  4. Step 4: Simplify right side
    2,419.18x = 3,117,918.43
  5. Step 5: Solve for x
    x = 3,117,918.43/2,419.18
  6. Step 6: Final answer
    x = 1,288.83

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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.