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Finding the Fourth Proportional to 3,431.99, 5,144.92 and 1,676.00

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Solution

The fourth proportional to 3,431.99, 5,144.92 and 1,676.00 is: 2,512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.99 : 5,144.92 = 1,676.00 : x
  2. Step 2: Convert to fraction form
    3,431.99/5,144.92 = 1,676.00/x
  3. Step 3: Cross multiply
    3,431.99x = 5,144.92 × 1,676.00
  4. Step 4: Simplify right side
    3,431.99x = 8,622,894.59
  5. Step 5: Solve for x
    x = 8,622,894.59/3,431.99
  6. Step 6: Final answer
    x = 2,512.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.