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Finding the Fourth Proportional to 2,054.90, 3,082.09 and 822.32

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Solution

The fourth proportional to 2,054.90, 3,082.09 and 822.32 is: 1,233.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.90 : 3,082.09 = 822.32 : x
  2. Step 2: Convert to fraction form
    2,054.90/3,082.09 = 822.32/x
  3. Step 3: Cross multiply
    2,054.90x = 3,082.09 × 822.32
  4. Step 4: Simplify right side
    2,054.90x = 2,534,464.25
  5. Step 5: Solve for x
    x = 2,534,464.25/2,054.90
  6. Step 6: Final answer
    x = 1,233.38

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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.