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Finding the Fourth Proportional to 2,739.70, 4,109.55 and 2,125.30

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Solution

The fourth proportional to 2,739.70, 4,109.55 and 2,125.30 is: 3,187.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.70 : 4,109.55 = 2,125.30 : x
  2. Step 2: Convert to fraction form
    2,739.70/4,109.55 = 2,125.30/x
  3. Step 3: Cross multiply
    2,739.70x = 4,109.55 × 2,125.30
  4. Step 4: Simplify right side
    2,739.70x = 8,734,026.62
  5. Step 5: Solve for x
    x = 8,734,026.62/2,739.70
  6. Step 6: Final answer
    x = 3,187.95

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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.