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Finding the Fourth Proportional to 2,054.38, 3,082.28 and 900.22

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Solution

The fourth proportional to 2,054.38, 3,082.28 and 900.22 is: 1,350.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.38 : 3,082.28 = 900.22 : x
  2. Step 2: Convert to fraction form
    2,054.38/3,082.28 = 900.22/x
  3. Step 3: Cross multiply
    2,054.38x = 3,082.28 × 900.22
  4. Step 4: Simplify right side
    2,054.38x = 2,774,716.94
  5. Step 5: Solve for x
    x = 2,774,716.94/2,054.38
  6. Step 6: Final answer
    x = 1,350.64

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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.