Home / 2,210.08-3,314.73-823.09

Finding the Fourth Proportional to 2,210.08, 3,314.73 and 823.09

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Solution

The fourth proportional to 2,210.08, 3,314.73 and 823.09 is: 1,234.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.08 : 3,314.73 = 823.09 : x
  2. Step 2: Convert to fraction form
    2,210.08/3,314.73 = 823.09/x
  3. Step 3: Cross multiply
    2,210.08x = 3,314.73 × 823.09
  4. Step 4: Simplify right side
    2,210.08x = 2,728,321.12
  5. Step 5: Solve for x
    x = 2,728,321.12/2,210.08
  6. Step 6: Final answer
    x = 1,234.49

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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.