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Finding the Fourth Proportional to 2,133.06, 3,199.72 and 672.26

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Solution

The fourth proportional to 2,133.06, 3,199.72 and 672.26 is: 1,008.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.06 : 3,199.72 = 672.26 : x
  2. Step 2: Convert to fraction form
    2,133.06/3,199.72 = 672.26/x
  3. Step 3: Cross multiply
    2,133.06x = 3,199.72 × 672.26
  4. Step 4: Simplify right side
    2,133.06x = 2,151,043.77
  5. Step 5: Solve for x
    x = 2,151,043.77/2,133.06
  6. Step 6: Final answer
    x = 1,008.43

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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.