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Finding the Fourth Proportional to 2,440.98, 3,661.78 and 797.22

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Solution

The fourth proportional to 2,440.98, 3,661.78 and 797.22 is: 1,195.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.98 : 3,661.78 = 797.22 : x
  2. Step 2: Convert to fraction form
    2,440.98/3,661.78 = 797.22/x
  3. Step 3: Cross multiply
    2,440.98x = 3,661.78 × 797.22
  4. Step 4: Simplify right side
    2,440.98x = 2,919,244.25
  5. Step 5: Solve for x
    x = 2,919,244.25/2,440.98
  6. Step 6: Final answer
    x = 1,195.93

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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.