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Finding the Fourth Proportional to 2,739.41, 4,107.02 and 889.40

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Solution

The fourth proportional to 2,739.41, 4,107.02 and 889.40 is: 1,333.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.41 : 4,107.02 = 889.40 : x
  2. Step 2: Convert to fraction form
    2,739.41/4,107.02 = 889.40/x
  3. Step 3: Cross multiply
    2,739.41x = 4,107.02 × 889.40
  4. Step 4: Simplify right side
    2,739.41x = 3,652,783.59
  5. Step 5: Solve for x
    x = 3,652,783.59/2,739.41
  6. Step 6: Final answer
    x = 1,333.42

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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.