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Finding the Fourth Proportional to 2,723.02, 4,085.18 and 775.22

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Solution

The fourth proportional to 2,723.02, 4,085.18 and 775.22 is: 1,163.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.02 : 4,085.18 = 775.22 : x
  2. Step 2: Convert to fraction form
    2,723.02/4,085.18 = 775.22/x
  3. Step 3: Cross multiply
    2,723.02x = 4,085.18 × 775.22
  4. Step 4: Simplify right side
    2,723.02x = 3,166,919.18
  5. Step 5: Solve for x
    x = 3,166,919.18/2,723.02
  6. Step 6: Final answer
    x = 1,163.02

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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.