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Finding the Fourth Proportional to 2,739.41, 4,108.73 and 890.55

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Solution

The fourth proportional to 2,739.41, 4,108.73 and 890.55 is: 1,335.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.41 : 4,108.73 = 890.55 : x
  2. Step 2: Convert to fraction form
    2,739.41/4,108.73 = 890.55/x
  3. Step 3: Cross multiply
    2,739.41x = 4,108.73 × 890.55
  4. Step 4: Simplify right side
    2,739.41x = 3,659,029.50
  5. Step 5: Solve for x
    x = 3,659,029.50/2,739.41
  6. Step 6: Final answer
    x = 1,335.70

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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.