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Finding the Fourth Proportional to 2,709.36, 3,738.34 and 2,037.88

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Solution

The fourth proportional to 2,709.36, 3,738.34 and 2,037.88 is: 2,811.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.36 : 3,738.34 = 2,037.88 : x
  2. Step 2: Convert to fraction form
    2,709.36/3,738.34 = 2,037.88/x
  3. Step 3: Cross multiply
    2,709.36x = 3,738.34 × 2,037.88
  4. Step 4: Simplify right side
    2,709.36x = 7,618,288.32
  5. Step 5: Solve for x
    x = 7,618,288.32/2,709.36
  6. Step 6: Final answer
    x = 2,811.84

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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.