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Finding the Fourth Proportional to 2,794.46, 4,192.14 and 945.68

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Solution

The fourth proportional to 2,794.46, 4,192.14 and 945.68 is: 1,418.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.46 : 4,192.14 = 945.68 : x
  2. Step 2: Convert to fraction form
    2,794.46/4,192.14 = 945.68/x
  3. Step 3: Cross multiply
    2,794.46x = 4,192.14 × 945.68
  4. Step 4: Simplify right side
    2,794.46x = 3,964,422.96
  5. Step 5: Solve for x
    x = 3,964,422.96/2,794.46
  6. Step 6: Final answer
    x = 1,418.67

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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.