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Finding the Fourth Proportional to 3,002.82, 4,144.06 and 1,676.54

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Solution

The fourth proportional to 3,002.82, 4,144.06 and 1,676.54 is: 2,313.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.82 : 4,144.06 = 1,676.54 : x
  2. Step 2: Convert to fraction form
    3,002.82/4,144.06 = 1,676.54/x
  3. Step 3: Cross multiply
    3,002.82x = 4,144.06 × 1,676.54
  4. Step 4: Simplify right side
    3,002.82x = 6,947,682.35
  5. Step 5: Solve for x
    x = 6,947,682.35/3,002.82
  6. Step 6: Final answer
    x = 2,313.72

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