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Finding the Fourth Proportional to 2,363.74, 3,563.44 and 2,205.22

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Solution

The fourth proportional to 2,363.74, 3,563.44 and 2,205.22 is: 3,324.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.74 : 3,563.44 = 2,205.22 : x
  2. Step 2: Convert to fraction form
    2,363.74/3,563.44 = 2,205.22/x
  3. Step 3: Cross multiply
    2,363.74x = 3,563.44 × 2,205.22
  4. Step 4: Simplify right side
    2,363.74x = 7,858,169.16
  5. Step 5: Solve for x
    x = 7,858,169.16/2,363.74
  6. Step 6: Final answer
    x = 3,324.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.