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Finding the Fourth Proportional to 2,245.14, 3,365.37 and 858.33

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Solution

The fourth proportional to 2,245.14, 3,365.37 and 858.33 is: 1,286.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.14 : 3,365.37 = 858.33 : x
  2. Step 2: Convert to fraction form
    2,245.14/3,365.37 = 858.33/x
  3. Step 3: Cross multiply
    2,245.14x = 3,365.37 × 858.33
  4. Step 4: Simplify right side
    2,245.14x = 2,888,598.03
  5. Step 5: Solve for x
    x = 2,888,598.03/2,245.14
  6. Step 6: Final answer
    x = 1,286.60

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1.5x scale

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.