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Finding the Fourth Proportional to 3,002.34, 4,143.42 and 1,676.22

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Solution

The fourth proportional to 3,002.34, 4,143.42 and 1,676.22 is: 2,313.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.34 : 4,143.42 = 1,676.22 : x
  2. Step 2: Convert to fraction form
    3,002.34/4,143.42 = 1,676.22/x
  3. Step 3: Cross multiply
    3,002.34x = 4,143.42 × 1,676.22
  4. Step 4: Simplify right side
    3,002.34x = 6,945,283.47
  5. Step 5: Solve for x
    x = 6,945,283.47/3,002.34
  6. Step 6: Final answer
    x = 2,313.29

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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.