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Finding the Fourth Proportional to 2,797.56, 4,195.26 and 948.33

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Solution

The fourth proportional to 2,797.56, 4,195.26 and 948.33 is: 1,422.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.56 : 4,195.26 = 948.33 : x
  2. Step 2: Convert to fraction form
    2,797.56/4,195.26 = 948.33/x
  3. Step 3: Cross multiply
    2,797.56x = 4,195.26 × 948.33
  4. Step 4: Simplify right side
    2,797.56x = 3,978,490.92
  5. Step 5: Solve for x
    x = 3,978,490.92/2,797.56
  6. Step 6: Final answer
    x = 1,422.13

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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.