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Finding the Fourth Proportional to 3,201.34, 4,802.10 and 892.84

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Solution

The fourth proportional to 3,201.34, 4,802.10 and 892.84 is: 1,339.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.34 : 4,802.10 = 892.84 : x
  2. Step 2: Convert to fraction form
    3,201.34/4,802.10 = 892.84/x
  3. Step 3: Cross multiply
    3,201.34x = 4,802.10 × 892.84
  4. Step 4: Simplify right side
    3,201.34x = 4,287,506.96
  5. Step 5: Solve for x
    x = 4,287,506.96/3,201.34
  6. Step 6: Final answer
    x = 1,339.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.