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Finding the Fourth Proportional to 2,650.74, 3,976.71 and 1,419.33

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Solution

The fourth proportional to 2,650.74, 3,976.71 and 1,419.33 is: 2,129.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.74 : 3,976.71 = 1,419.33 : x
  2. Step 2: Convert to fraction form
    2,650.74/3,976.71 = 1,419.33/x
  3. Step 3: Cross multiply
    2,650.74x = 3,976.71 × 1,419.33
  4. Step 4: Simplify right side
    2,650.74x = 5,644,263.80
  5. Step 5: Solve for x
    x = 5,644,263.80/2,650.74
  6. Step 6: Final answer
    x = 2,129.32

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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.