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Finding the Fourth Proportional to 2,919.69, 4,380.15 and 945.48

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Solution

The fourth proportional to 2,919.69, 4,380.15 and 945.48 is: 1,418.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.69 : 4,380.15 = 945.48 : x
  2. Step 2: Convert to fraction form
    2,919.69/4,380.15 = 945.48/x
  3. Step 3: Cross multiply
    2,919.69x = 4,380.15 × 945.48
  4. Step 4: Simplify right side
    2,919.69x = 4,141,344.22
  5. Step 5: Solve for x
    x = 4,141,344.22/2,919.69
  6. Step 6: Final answer
    x = 1,418.42

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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.