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Finding the Fourth Proportional to 3,002.81, 4,144.09 and 1,676.49

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Solution

The fourth proportional to 3,002.81, 4,144.09 and 1,676.49 is: 2,313.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.81 : 4,144.09 = 1,676.49 : x
  2. Step 2: Convert to fraction form
    3,002.81/4,144.09 = 1,676.49/x
  3. Step 3: Cross multiply
    3,002.81x = 4,144.09 × 1,676.49
  4. Step 4: Simplify right side
    3,002.81x = 6,947,521.25
  5. Step 5: Solve for x
    x = 6,947,521.25/3,002.81
  6. Step 6: Final answer
    x = 2,313.67

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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.