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Finding the Fourth Proportional to 3,104.21, 4,283.84 and 1,777.84

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Solution

The fourth proportional to 3,104.21, 4,283.84 and 1,777.84 is: 2,453.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.21 : 4,283.84 = 1,777.84 : x
  2. Step 2: Convert to fraction form
    3,104.21/4,283.84 = 1,777.84/x
  3. Step 3: Cross multiply
    3,104.21x = 4,283.84 × 1,777.84
  4. Step 4: Simplify right side
    3,104.21x = 7,615,982.11
  5. Step 5: Solve for x
    x = 7,615,982.11/3,104.21
  6. Step 6: Final answer
    x = 2,453.44

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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.