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Finding the Fourth Proportional to 2,709.92, 3,734.34 and 1,922.60

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Solution

The fourth proportional to 2,709.92, 3,734.34 and 1,922.60 is: 2,649.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.92 : 3,734.34 = 1,922.60 : x
  2. Step 2: Convert to fraction form
    2,709.92/3,734.34 = 1,922.60/x
  3. Step 3: Cross multiply
    2,709.92x = 3,734.34 × 1,922.60
  4. Step 4: Simplify right side
    2,709.92x = 7,179,642.08
  5. Step 5: Solve for x
    x = 7,179,642.08/2,709.92
  6. Step 6: Final answer
    x = 2,649.39

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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.