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Finding the Fourth Proportional to 2,723.03, 4,085.23 and 775.22

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Solution

The fourth proportional to 2,723.03, 4,085.23 and 775.22 is: 1,163.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.03 : 4,085.23 = 775.22 : x
  2. Step 2: Convert to fraction form
    2,723.03/4,085.23 = 775.22/x
  3. Step 3: Cross multiply
    2,723.03x = 4,085.23 × 775.22
  4. Step 4: Simplify right side
    2,723.03x = 3,166,960.28
  5. Step 5: Solve for x
    x = 3,166,960.28/2,723.03
  6. Step 6: Final answer
    x = 1,163.03

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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.