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Finding the Fourth Proportional to 2,738.31, 4,106.22 and 1,277.88

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Solution

The fourth proportional to 2,738.31, 4,106.22 and 1,277.88 is: 1,916.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.31 : 4,106.22 = 1,277.88 : x
  2. Step 2: Convert to fraction form
    2,738.31/4,106.22 = 1,277.88/x
  3. Step 3: Cross multiply
    2,738.31x = 4,106.22 × 1,277.88
  4. Step 4: Simplify right side
    2,738.31x = 5,247,256.41
  5. Step 5: Solve for x
    x = 5,247,256.41/2,738.31
  6. Step 6: Final answer
    x = 1,916.24

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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.