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Finding the Fourth Proportional to 2,244.28, 3,365.63 and 858.01

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Solution

The fourth proportional to 2,244.28, 3,365.63 and 858.01 is: 1,286.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244.28 : 3,365.63 = 858.01 : x
  2. Step 2: Convert to fraction form
    2,244.28/3,365.63 = 858.01/x
  3. Step 3: Cross multiply
    2,244.28x = 3,365.63 × 858.01
  4. Step 4: Simplify right side
    2,244.28x = 2,887,727.37
  5. Step 5: Solve for x
    x = 2,887,727.37/2,244.28
  6. Step 6: Final answer
    x = 1,286.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.