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Finding the Fourth Proportional to 2,074.99, 3,111.93 and 775.75

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Solution

The fourth proportional to 2,074.99, 3,111.93 and 775.75 is: 1,163.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.99 : 3,111.93 = 775.75 : x
  2. Step 2: Convert to fraction form
    2,074.99/3,111.93 = 775.75/x
  3. Step 3: Cross multiply
    2,074.99x = 3,111.93 × 775.75
  4. Step 4: Simplify right side
    2,074.99x = 2,414,079.70
  5. Step 5: Solve for x
    x = 2,414,079.70/2,074.99
  6. Step 6: Final answer
    x = 1,163.42

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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.