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Finding the Fourth Proportional to 3,074.22, 4,610.78 and 994.14

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Solution

The fourth proportional to 3,074.22, 4,610.78 and 994.14 is: 1,491.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.22 : 4,610.78 = 994.14 : x
  2. Step 2: Convert to fraction form
    3,074.22/4,610.78 = 994.14/x
  3. Step 3: Cross multiply
    3,074.22x = 4,610.78 × 994.14
  4. Step 4: Simplify right side
    3,074.22x = 4,583,760.83
  5. Step 5: Solve for x
    x = 4,583,760.83/3,074.22
  6. Step 6: Final answer
    x = 1,491.03

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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.