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Finding the Fourth Proportional to 2,709.64, 3,738.09 and 1,914.13

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Solution

The fourth proportional to 2,709.64, 3,738.09 and 1,914.13 is: 2,640.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.64 : 3,738.09 = 1,914.13 : x
  2. Step 2: Convert to fraction form
    2,709.64/3,738.09 = 1,914.13/x
  3. Step 3: Cross multiply
    2,709.64x = 3,738.09 × 1,914.13
  4. Step 4: Simplify right side
    2,709.64x = 7,155,190.21
  5. Step 5: Solve for x
    x = 7,155,190.21/2,709.64
  6. Step 6: Final answer
    x = 2,640.64

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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.