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Finding the Fourth Proportional to 2,723.01, 4,085.21 and 775.23

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Solution

The fourth proportional to 2,723.01, 4,085.21 and 775.23 is: 1,163.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.01 : 4,085.21 = 775.23 : x
  2. Step 2: Convert to fraction form
    2,723.01/4,085.21 = 775.23/x
  3. Step 3: Cross multiply
    2,723.01x = 4,085.21 × 775.23
  4. Step 4: Simplify right side
    2,723.01x = 3,166,973.47
  5. Step 5: Solve for x
    x = 3,166,973.47/2,723.01
  6. Step 6: Final answer
    x = 1,163.04

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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.