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Finding the Fourth Proportional to 3,389.32, 4,676.70 and 1,992.34

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Solution

The fourth proportional to 3,389.32, 4,676.70 and 1,992.34 is: 2,749.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.32 : 4,676.70 = 1,992.34 : x
  2. Step 2: Convert to fraction form
    3,389.32/4,676.70 = 1,992.34/x
  3. Step 3: Cross multiply
    3,389.32x = 4,676.70 × 1,992.34
  4. Step 4: Simplify right side
    3,389.32x = 9,317,576.48
  5. Step 5: Solve for x
    x = 9,317,576.48/3,389.32
  6. Step 6: Final answer
    x = 2,749.10

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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.