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Finding the Fourth Proportional to 2,711.71, 3,739.46 and 2,041.12

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Solution

The fourth proportional to 2,711.71, 3,739.46 and 2,041.12 is: 2,814.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.71 : 3,739.46 = 2,041.12 : x
  2. Step 2: Convert to fraction form
    2,711.71/3,739.46 = 2,041.12/x
  3. Step 3: Cross multiply
    2,711.71x = 3,739.46 × 2,041.12
  4. Step 4: Simplify right side
    2,711.71x = 7,632,662.80
  5. Step 5: Solve for x
    x = 7,632,662.80/2,711.71
  6. Step 6: Final answer
    x = 2,814.71

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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.