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Finding the Fourth Proportional to 2,054.81, 3,082.23 and 515.81

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Solution

The fourth proportional to 2,054.81, 3,082.23 and 515.81 is: 773.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.81 : 3,082.23 = 515.81 : x
  2. Step 2: Convert to fraction form
    2,054.81/3,082.23 = 515.81/x
  3. Step 3: Cross multiply
    2,054.81x = 3,082.23 × 515.81
  4. Step 4: Simplify right side
    2,054.81x = 1,589,852.76
  5. Step 5: Solve for x
    x = 1,589,852.76/2,054.81
  6. Step 6: Final answer
    x = 773.72

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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.