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Finding the Fourth Proportional to 2,796.41, 3,859.16 and 1,677.85

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Solution

The fourth proportional to 2,796.41, 3,859.16 and 1,677.85 is: 2,315.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.41 : 3,859.16 = 1,677.85 : x
  2. Step 2: Convert to fraction form
    2,796.41/3,859.16 = 1,677.85/x
  3. Step 3: Cross multiply
    2,796.41x = 3,859.16 × 1,677.85
  4. Step 4: Simplify right side
    2,796.41x = 6,475,091.61
  5. Step 5: Solve for x
    x = 6,475,091.61/2,796.41
  6. Step 6: Final answer
    x = 2,315.50

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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.