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Finding the Fourth Proportional to 1,727.73, 2,589.76 and 860.22

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Solution

The fourth proportional to 1,727.73, 2,589.76 and 860.22 is: 1,289.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.73 : 2,589.76 = 860.22 : x
  2. Step 2: Convert to fraction form
    1,727.73/2,589.76 = 860.22/x
  3. Step 3: Cross multiply
    1,727.73x = 2,589.76 × 860.22
  4. Step 4: Simplify right side
    1,727.73x = 2,227,763.35
  5. Step 5: Solve for x
    x = 2,227,763.35/1,727.73
  6. Step 6: Final answer
    x = 1,289.42

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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.