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Finding the Fourth Proportional to 2,796.26, 4,193.07 and 946.11

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Solution

The fourth proportional to 2,796.26, 4,193.07 and 946.11 is: 1,418.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.26 : 4,193.07 = 946.11 : x
  2. Step 2: Convert to fraction form
    2,796.26/4,193.07 = 946.11/x
  3. Step 3: Cross multiply
    2,796.26x = 4,193.07 × 946.11
  4. Step 4: Simplify right side
    2,796.26x = 3,967,117.63
  5. Step 5: Solve for x
    x = 3,967,117.63/2,796.26
  6. Step 6: Final answer
    x = 1,418.73

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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.