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Finding the Fourth Proportional to 2,613.81, 3,922.07 and 1,736.92

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Solution

The fourth proportional to 2,613.81, 3,922.07 and 1,736.92 is: 2,606.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.81 : 3,922.07 = 1,736.92 : x
  2. Step 2: Convert to fraction form
    2,613.81/3,922.07 = 1,736.92/x
  3. Step 3: Cross multiply
    2,613.81x = 3,922.07 × 1,736.92
  4. Step 4: Simplify right side
    2,613.81x = 6,812,321.82
  5. Step 5: Solve for x
    x = 6,812,321.82/2,613.81
  6. Step 6: Final answer
    x = 2,606.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.