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Finding the Fourth Proportional to 2,057.94, 3,086.63 and 672.16

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Solution

The fourth proportional to 2,057.94, 3,086.63 and 672.16 is: 1,008.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.94 : 3,086.63 = 672.16 : x
  2. Step 2: Convert to fraction form
    2,057.94/3,086.63 = 672.16/x
  3. Step 3: Cross multiply
    2,057.94x = 3,086.63 × 672.16
  4. Step 4: Simplify right side
    2,057.94x = 2,074,712.68
  5. Step 5: Solve for x
    x = 2,074,712.68/2,057.94
  6. Step 6: Final answer
    x = 1,008.15

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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.