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Finding the Fourth Proportional to 2,778.83, 3,833.69 and 1,783.95

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Solution

The fourth proportional to 2,778.83, 3,833.69 and 1,783.95 is: 2,461.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.83 : 3,833.69 = 1,783.95 : x
  2. Step 2: Convert to fraction form
    2,778.83/3,833.69 = 1,783.95/x
  3. Step 3: Cross multiply
    2,778.83x = 3,833.69 × 1,783.95
  4. Step 4: Simplify right side
    2,778.83x = 6,839,102.36
  5. Step 5: Solve for x
    x = 6,839,102.36/2,778.83
  6. Step 6: Final answer
    x = 2,461.15

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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.