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Finding the Fourth Proportional to 2,082.93, 3,124.44 and 622.11

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Solution

The fourth proportional to 2,082.93, 3,124.44 and 622.11 is: 933.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.93 : 3,124.44 = 622.11 : x
  2. Step 2: Convert to fraction form
    2,082.93/3,124.44 = 622.11/x
  3. Step 3: Cross multiply
    2,082.93x = 3,124.44 × 622.11
  4. Step 4: Simplify right side
    2,082.93x = 1,943,745.37
  5. Step 5: Solve for x
    x = 1,943,745.37/2,082.93
  6. Step 6: Final answer
    x = 933.18

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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.