Home / 2,778.92-3,828.32-1,938.10

Finding the Fourth Proportional to 2,778.92, 3,828.32 and 1,938.10

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Solution

The fourth proportional to 2,778.92, 3,828.32 and 1,938.10 is: 2,669.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.92 : 3,828.32 = 1,938.10 : x
  2. Step 2: Convert to fraction form
    2,778.92/3,828.32 = 1,938.10/x
  3. Step 3: Cross multiply
    2,778.92x = 3,828.32 × 1,938.10
  4. Step 4: Simplify right side
    2,778.92x = 7,419,638.16
  5. Step 5: Solve for x
    x = 7,419,638.16/2,778.92
  6. Step 6: Final answer
    x = 2,669.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.