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Finding the Fourth Proportional to 3,002.70, 4,143.76 and 1,676.53

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Solution

The fourth proportional to 3,002.70, 4,143.76 and 1,676.53 is: 2,313.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.70 : 4,143.76 = 1,676.53 : x
  2. Step 2: Convert to fraction form
    3,002.70/4,143.76 = 1,676.53/x
  3. Step 3: Cross multiply
    3,002.70x = 4,143.76 × 1,676.53
  4. Step 4: Simplify right side
    3,002.70x = 6,947,138.94
  5. Step 5: Solve for x
    x = 6,947,138.94/3,002.70
  6. Step 6: Final answer
    x = 2,313.63

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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.