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Finding the Fourth Proportional to 3,334.35, 4,601.42 and 1,842.27

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Solution

The fourth proportional to 3,334.35, 4,601.42 and 1,842.27 is: 2,542.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,334.35 : 4,601.42 = 1,842.27 : x
  2. Step 2: Convert to fraction form
    3,334.35/4,601.42 = 1,842.27/x
  3. Step 3: Cross multiply
    3,334.35x = 4,601.42 × 1,842.27
  4. Step 4: Simplify right side
    3,334.35x = 8,477,048.81
  5. Step 5: Solve for x
    x = 8,477,048.81/3,334.35
  6. Step 6: Final answer
    x = 2,542.34

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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.