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Finding the Fourth Proportional to 3,104.46, 4,282.94 and 1,777.46

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Solution

The fourth proportional to 3,104.46, 4,282.94 and 1,777.46 is: 2,452.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.46 : 4,282.94 = 1,777.46 : x
  2. Step 2: Convert to fraction form
    3,104.46/4,282.94 = 1,777.46/x
  3. Step 3: Cross multiply
    3,104.46x = 4,282.94 × 1,777.46
  4. Step 4: Simplify right side
    3,104.46x = 7,612,754.53
  5. Step 5: Solve for x
    x = 7,612,754.53/3,104.46
  6. Step 6: Final answer
    x = 2,452.20

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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.