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Finding the Fourth Proportional to 3,002.67, 4,143.64 and 1,676.39

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Solution

The fourth proportional to 3,002.67, 4,143.64 and 1,676.39 is: 2,313.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.67 : 4,143.64 = 1,676.39 : x
  2. Step 2: Convert to fraction form
    3,002.67/4,143.64 = 1,676.39/x
  3. Step 3: Cross multiply
    3,002.67x = 4,143.64 × 1,676.39
  4. Step 4: Simplify right side
    3,002.67x = 6,946,348.28
  5. Step 5: Solve for x
    x = 6,946,348.28/3,002.67
  6. Step 6: Final answer
    x = 2,313.39

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Why These Related Problems?

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