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Finding the Fourth Proportional to 2,090.75, 3,136.19 and 774.83

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Solution

The fourth proportional to 2,090.75, 3,136.19 and 774.83 is: 1,162.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.75 : 3,136.19 = 774.83 : x
  2. Step 2: Convert to fraction form
    2,090.75/3,136.19 = 774.83/x
  3. Step 3: Cross multiply
    2,090.75x = 3,136.19 × 774.83
  4. Step 4: Simplify right side
    2,090.75x = 2,430,018.01
  5. Step 5: Solve for x
    x = 2,430,018.01/2,090.75
  6. Step 6: Final answer
    x = 1,162.27

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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.