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Finding the Fourth Proportional to 1,441.67, 2,156.88 and 1,096

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Solution

The fourth proportional to 1,441.67, 2,156.88 and 1,096 is: 1,639.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.67 : 2,156.88 = 1,096 : x
  2. Step 2: Convert to fraction form
    1,441.67/2,156.88 = 1,096/x
  3. Step 3: Cross multiply
    1,441.67x = 2,156.88 × 1,096
  4. Step 4: Simplify right side
    1,441.67x = 2,363,940.48
  5. Step 5: Solve for x
    x = 2,363,940.48/1,441.67
  6. Step 6: Final answer
    x = 1,639.73

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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.