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Finding the Fourth Proportional to 2,734.15, 3,773.72 and 1,739.23

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Solution

The fourth proportional to 2,734.15, 3,773.72 and 1,739.23 is: 2,400.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.15 : 3,773.72 = 1,739.23 : x
  2. Step 2: Convert to fraction form
    2,734.15/3,773.72 = 1,739.23/x
  3. Step 3: Cross multiply
    2,734.15x = 3,773.72 × 1,739.23
  4. Step 4: Simplify right side
    2,734.15x = 6,563,367.04
  5. Step 5: Solve for x
    x = 6,563,367.04/2,734.15
  6. Step 6: Final answer
    x = 2,400.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.