Home / 2,778.24-3,834.51-1,784.78

Finding the Fourth Proportional to 2,778.24, 3,834.51 and 1,784.78

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Solution

The fourth proportional to 2,778.24, 3,834.51 and 1,784.78 is: 2,463.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.24 : 3,834.51 = 1,784.78 : x
  2. Step 2: Convert to fraction form
    2,778.24/3,834.51 = 1,784.78/x
  3. Step 3: Cross multiply
    2,778.24x = 3,834.51 × 1,784.78
  4. Step 4: Simplify right side
    2,778.24x = 6,843,737.59
  5. Step 5: Solve for x
    x = 6,843,737.59/2,778.24
  6. Step 6: Final answer
    x = 2,463.34

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