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Finding the Fourth Proportional to 2,086.70, 2,873.09 and 1,771.34

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Solution

The fourth proportional to 2,086.70, 2,873.09 and 1,771.34 is: 2,438.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.70 : 2,873.09 = 1,771.34 : x
  2. Step 2: Convert to fraction form
    2,086.70/2,873.09 = 1,771.34/x
  3. Step 3: Cross multiply
    2,086.70x = 2,873.09 × 1,771.34
  4. Step 4: Simplify right side
    2,086.70x = 5,089,230.85
  5. Step 5: Solve for x
    x = 5,089,230.85/2,086.70
  6. Step 6: Final answer
    x = 2,438.89

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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.