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Finding the Fourth Proportional to 2,649.74, 3,975.21 and 1,418.33

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Solution

The fourth proportional to 2,649.74, 3,975.21 and 1,418.33 is: 2,127.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.74 : 3,975.21 = 1,418.33 : x
  2. Step 2: Convert to fraction form
    2,649.74/3,975.21 = 1,418.33/x
  3. Step 3: Cross multiply
    2,649.74x = 3,975.21 × 1,418.33
  4. Step 4: Simplify right side
    2,649.74x = 5,638,169.54
  5. Step 5: Solve for x
    x = 5,638,169.54/2,649.74
  6. Step 6: Final answer
    x = 2,127.82

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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.