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Finding the Fourth Proportional to 2,690.92, 3,711.23 and 1,935.80

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Solution

The fourth proportional to 2,690.92, 3,711.23 and 1,935.80 is: 2,669.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.92 : 3,711.23 = 1,935.80 : x
  2. Step 2: Convert to fraction form
    2,690.92/3,711.23 = 1,935.80/x
  3. Step 3: Cross multiply
    2,690.92x = 3,711.23 × 1,935.80
  4. Step 4: Simplify right side
    2,690.92x = 7,184,180.48
  5. Step 5: Solve for x
    x = 7,184,180.48/2,690.92
  6. Step 6: Final answer
    x = 2,669.79

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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.