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Finding the Fourth Proportional to 1,858.14, 2,786.81 and 559.31

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Solution

The fourth proportional to 1,858.14, 2,786.81 and 559.31 is: 838.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.14 : 2,786.81 = 559.31 : x
  2. Step 2: Convert to fraction form
    1,858.14/2,786.81 = 559.31/x
  3. Step 3: Cross multiply
    1,858.14x = 2,786.81 × 559.31
  4. Step 4: Simplify right side
    1,858.14x = 1,558,673.97
  5. Step 5: Solve for x
    x = 1,558,673.97/1,858.14
  6. Step 6: Final answer
    x = 838.84

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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.