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Finding the Fourth Proportional to 2,711.30, 3,737.22 and 1,964.24

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Solution

The fourth proportional to 2,711.30, 3,737.22 and 1,964.24 is: 2,707.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.30 : 3,737.22 = 1,964.24 : x
  2. Step 2: Convert to fraction form
    2,711.30/3,737.22 = 1,964.24/x
  3. Step 3: Cross multiply
    2,711.30x = 3,737.22 × 1,964.24
  4. Step 4: Simplify right side
    2,711.30x = 7,340,797.01
  5. Step 5: Solve for x
    x = 7,340,797.01/2,711.30
  6. Step 6: Final answer
    x = 2,707.48

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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.