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Finding the Fourth Proportional to 3,084.67, 4,256.85 and 1,687.42

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Solution

The fourth proportional to 3,084.67, 4,256.85 and 1,687.42 is: 2,328.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.67 : 4,256.85 = 1,687.42 : x
  2. Step 2: Convert to fraction form
    3,084.67/4,256.85 = 1,687.42/x
  3. Step 3: Cross multiply
    3,084.67x = 4,256.85 × 1,687.42
  4. Step 4: Simplify right side
    3,084.67x = 7,183,093.83
  5. Step 5: Solve for x
    x = 7,183,093.83/3,084.67
  6. Step 6: Final answer
    x = 2,328.64

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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.