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Finding the Fourth Proportional to 2,201.44, 3,304.76 and 1,739.56

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Solution

The fourth proportional to 2,201.44, 3,304.76 and 1,739.56 is: 2,611.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.44 : 3,304.76 = 1,739.56 : x
  2. Step 2: Convert to fraction form
    2,201.44/3,304.76 = 1,739.56/x
  3. Step 3: Cross multiply
    2,201.44x = 3,304.76 × 1,739.56
  4. Step 4: Simplify right side
    2,201.44x = 5,748,828.31
  5. Step 5: Solve for x
    x = 5,748,828.31/2,201.44
  6. Step 6: Final answer
    x = 2,611.39

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1.5x scale

Why These Related Problems?

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