Home / 2,210.36-3,313.42-822.74

Finding the Fourth Proportional to 2,210.36, 3,313.42 and 822.74

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Solution

The fourth proportional to 2,210.36, 3,313.42 and 822.74 is: 1,233.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.36 : 3,313.42 = 822.74 : x
  2. Step 2: Convert to fraction form
    2,210.36/3,313.42 = 822.74/x
  3. Step 3: Cross multiply
    2,210.36x = 3,313.42 × 822.74
  4. Step 4: Simplify right side
    2,210.36x = 2,726,064.55
  5. Step 5: Solve for x
    x = 2,726,064.55/2,210.36
  6. Step 6: Final answer
    x = 1,233.32

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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.