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Finding the Fourth Proportional to 3,182, 4,772.96 and 1,234.20

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Solution

The fourth proportional to 3,182, 4,772.96 and 1,234.20 is: 1,851.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182 : 4,772.96 = 1,234.20 : x
  2. Step 2: Convert to fraction form
    3,182/4,772.96 = 1,234.20/x
  3. Step 3: Cross multiply
    3,182x = 4,772.96 × 1,234.20
  4. Step 4: Simplify right side
    3,182x = 5,890,787.23
  5. Step 5: Solve for x
    x = 5,890,787.23/3,182
  6. Step 6: Final answer
    x = 1,851.28

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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.