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Finding the Fourth Proportional to 3,002.85, 4,143.94 and 1,676.56

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Solution

The fourth proportional to 3,002.85, 4,143.94 and 1,676.56 is: 2,313.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.85 : 4,143.94 = 1,676.56 : x
  2. Step 2: Convert to fraction form
    3,002.85/4,143.94 = 1,676.56/x
  3. Step 3: Cross multiply
    3,002.85x = 4,143.94 × 1,676.56
  4. Step 4: Simplify right side
    3,002.85x = 6,947,550.57
  5. Step 5: Solve for x
    x = 6,947,550.57/3,002.85
  6. Step 6: Final answer
    x = 2,313.65

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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.