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Finding the Fourth Proportional to 2,476.23, 3,716.22 and 917.19

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Solution

The fourth proportional to 2,476.23, 3,716.22 and 917.19 is: 1,376.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.23 : 3,716.22 = 917.19 : x
  2. Step 2: Convert to fraction form
    2,476.23/3,716.22 = 917.19/x
  3. Step 3: Cross multiply
    2,476.23x = 3,716.22 × 917.19
  4. Step 4: Simplify right side
    2,476.23x = 3,408,469.33
  5. Step 5: Solve for x
    x = 3,408,469.33/2,476.23
  6. Step 6: Final answer
    x = 1,376.47

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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.