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Finding the Fourth Proportional to 2,054.95, 3,082.42 and 822.65

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Solution

The fourth proportional to 2,054.95, 3,082.42 and 822.65 is: 1,233.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.95 : 3,082.42 = 822.65 : x
  2. Step 2: Convert to fraction form
    2,054.95/3,082.42 = 822.65/x
  3. Step 3: Cross multiply
    2,054.95x = 3,082.42 × 822.65
  4. Step 4: Simplify right side
    2,054.95x = 2,535,752.81
  5. Step 5: Solve for x
    x = 2,535,752.81/2,054.95
  6. Step 6: Final answer
    x = 1,233.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.