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Finding the Fourth Proportional to 2,082.08, 3,122.39 and 695.00

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Solution

The fourth proportional to 2,082.08, 3,122.39 and 695.00 is: 1,042.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.08 : 3,122.39 = 695.00 : x
  2. Step 2: Convert to fraction form
    2,082.08/3,122.39 = 695.00/x
  3. Step 3: Cross multiply
    2,082.08x = 3,122.39 × 695.00
  4. Step 4: Simplify right side
    2,082.08x = 2,170,041.96
  5. Step 5: Solve for x
    x = 2,170,041.96/2,082.08
  6. Step 6: Final answer
    x = 1,042.25

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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.