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Finding the Fourth Proportional to 3,002.68, 4,143.82 and 1,676.34

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Solution

The fourth proportional to 3,002.68, 4,143.82 and 1,676.34 is: 2,313.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.68 : 4,143.82 = 1,676.34 : x
  2. Step 2: Convert to fraction form
    3,002.68/4,143.82 = 1,676.34/x
  3. Step 3: Cross multiply
    3,002.68x = 4,143.82 × 1,676.34
  4. Step 4: Simplify right side
    3,002.68x = 6,946,451.22
  5. Step 5: Solve for x
    x = 6,946,451.22/3,002.68
  6. Step 6: Final answer
    x = 2,313.42

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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.