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Finding the Fourth Proportional to 2,644.11, 3,967.97 and 1,412.41

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Solution

The fourth proportional to 2,644.11, 3,967.97 and 1,412.41 is: 2,119.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.11 : 3,967.97 = 1,412.41 : x
  2. Step 2: Convert to fraction form
    2,644.11/3,967.97 = 1,412.41/x
  3. Step 3: Cross multiply
    2,644.11x = 3,967.97 × 1,412.41
  4. Step 4: Simplify right side
    2,644.11x = 5,604,400.51
  5. Step 5: Solve for x
    x = 5,604,400.51/2,644.11
  6. Step 6: Final answer
    x = 2,119.58

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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.