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Finding the Fourth Proportional to 3,469.96, 4,788.69 and 1,898.06

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Solution

The fourth proportional to 3,469.96, 4,788.69 and 1,898.06 is: 2,619.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.96 : 4,788.69 = 1,898.06 : x
  2. Step 2: Convert to fraction form
    3,469.96/4,788.69 = 1,898.06/x
  3. Step 3: Cross multiply
    3,469.96x = 4,788.69 × 1,898.06
  4. Step 4: Simplify right side
    3,469.96x = 9,089,189.88
  5. Step 5: Solve for x
    x = 9,089,189.88/3,469.96
  6. Step 6: Final answer
    x = 2,619.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.