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Finding the Fourth Proportional to 1,919.26, 2,649 and 1,220.50

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Solution

The fourth proportional to 1,919.26, 2,649 and 1,220.50 is: 1,684.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.26 : 2,649 = 1,220.50 : x
  2. Step 2: Convert to fraction form
    1,919.26/2,649 = 1,220.50/x
  3. Step 3: Cross multiply
    1,919.26x = 2,649 × 1,220.50
  4. Step 4: Simplify right side
    1,919.26x = 3,233,104.50
  5. Step 5: Solve for x
    x = 3,233,104.50/1,919.26
  6. Step 6: Final answer
    x = 1,684.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.