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Finding the Fourth Proportional to 2,638.51, 3,956.26 and 1,076.68

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Solution

The fourth proportional to 2,638.51, 3,956.26 and 1,076.68 is: 1,614.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.51 : 3,956.26 = 1,076.68 : x
  2. Step 2: Convert to fraction form
    2,638.51/3,956.26 = 1,076.68/x
  3. Step 3: Cross multiply
    2,638.51x = 3,956.26 × 1,076.68
  4. Step 4: Simplify right side
    2,638.51x = 4,259,626.02
  5. Step 5: Solve for x
    x = 4,259,626.02/2,638.51
  6. Step 6: Final answer
    x = 1,614.41

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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.