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Finding the Fourth Proportional to 1,858.62, 2,782.17 and 1,469.82

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Solution

The fourth proportional to 1,858.62, 2,782.17 and 1,469.82 is: 2,200.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.62 : 2,782.17 = 1,469.82 : x
  2. Step 2: Convert to fraction form
    1,858.62/2,782.17 = 1,469.82/x
  3. Step 3: Cross multiply
    1,858.62x = 2,782.17 × 1,469.82
  4. Step 4: Simplify right side
    1,858.62x = 4,089,289.11
  5. Step 5: Solve for x
    x = 4,089,289.11/1,858.62
  6. Step 6: Final answer
    x = 2,200.17

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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.