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Finding the Fourth Proportional to 2,065.99, 2,850.42 and 1,181.62

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Solution

The fourth proportional to 2,065.99, 2,850.42 and 1,181.62 is: 1,630.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.99 : 2,850.42 = 1,181.62 : x
  2. Step 2: Convert to fraction form
    2,065.99/2,850.42 = 1,181.62/x
  3. Step 3: Cross multiply
    2,065.99x = 2,850.42 × 1,181.62
  4. Step 4: Simplify right side
    2,065.99x = 3,368,100.25
  5. Step 5: Solve for x
    x = 3,368,100.25/2,065.99
  6. Step 6: Final answer
    x = 1,630.26

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1.5x scale

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.