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Finding the Fourth Proportional to 2,073.44, 3,110.30 and 774.88

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Solution

The fourth proportional to 2,073.44, 3,110.30 and 774.88 is: 1,162.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.44 : 3,110.30 = 774.88 : x
  2. Step 2: Convert to fraction form
    2,073.44/3,110.30 = 774.88/x
  3. Step 3: Cross multiply
    2,073.44x = 3,110.30 × 774.88
  4. Step 4: Simplify right side
    2,073.44x = 2,410,109.26
  5. Step 5: Solve for x
    x = 2,410,109.26/2,073.44
  6. Step 6: Final answer
    x = 1,162.37

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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.