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Finding the Fourth Proportional to 3,184.94, 4,777.41 and 1,104.95

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Solution

The fourth proportional to 3,184.94, 4,777.41 and 1,104.95 is: 1,657.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.94 : 4,777.41 = 1,104.95 : x
  2. Step 2: Convert to fraction form
    3,184.94/4,777.41 = 1,104.95/x
  3. Step 3: Cross multiply
    3,184.94x = 4,777.41 × 1,104.95
  4. Step 4: Simplify right side
    3,184.94x = 5,278,775.29
  5. Step 5: Solve for x
    x = 5,278,775.29/3,184.94
  6. Step 6: Final answer
    x = 1,657.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.