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Finding the Fourth Proportional to 1,769.06, 2,650.84 and 672.84

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Solution

The fourth proportional to 1,769.06, 2,650.84 and 672.84 is: 1,008.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.06 : 2,650.84 = 672.84 : x
  2. Step 2: Convert to fraction form
    1,769.06/2,650.84 = 672.84/x
  3. Step 3: Cross multiply
    1,769.06x = 2,650.84 × 672.84
  4. Step 4: Simplify right side
    1,769.06x = 1,783,591.19
  5. Step 5: Solve for x
    x = 1,783,591.19/1,769.06
  6. Step 6: Final answer
    x = 1,008.21

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