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Finding the Fourth Proportional to 2,833.94, 3,910.63 and 1,772.18

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Solution

The fourth proportional to 2,833.94, 3,910.63 and 1,772.18 is: 2,445.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.94 : 3,910.63 = 1,772.18 : x
  2. Step 2: Convert to fraction form
    2,833.94/3,910.63 = 1,772.18/x
  3. Step 3: Cross multiply
    2,833.94x = 3,910.63 × 1,772.18
  4. Step 4: Simplify right side
    2,833.94x = 6,930,334.28
  5. Step 5: Solve for x
    x = 6,930,334.28/2,833.94
  6. Step 6: Final answer
    x = 2,445.48

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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.