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Finding the Fourth Proportional to 1,857.72, 2,786.69 and 559.09

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Solution

The fourth proportional to 1,857.72, 2,786.69 and 559.09 is: 838.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.72 : 2,786.69 = 559.09 : x
  2. Step 2: Convert to fraction form
    1,857.72/2,786.69 = 559.09/x
  3. Step 3: Cross multiply
    1,857.72x = 2,786.69 × 559.09
  4. Step 4: Simplify right side
    1,857.72x = 1,558,010.51
  5. Step 5: Solve for x
    x = 1,558,010.51/1,857.72
  6. Step 6: Final answer
    x = 838.67

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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.