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Finding the Fourth Proportional to 2,986.75, 4,122.12 and 1,808.20

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Solution

The fourth proportional to 2,986.75, 4,122.12 and 1,808.20 is: 2,495.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.75 : 4,122.12 = 1,808.20 : x
  2. Step 2: Convert to fraction form
    2,986.75/4,122.12 = 1,808.20/x
  3. Step 3: Cross multiply
    2,986.75x = 4,122.12 × 1,808.20
  4. Step 4: Simplify right side
    2,986.75x = 7,453,617.38
  5. Step 5: Solve for x
    x = 7,453,617.38/2,986.75
  6. Step 6: Final answer
    x = 2,495.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.