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Finding the Fourth Proportional to 2,153.96, 3,229.68 and 1,541.60

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Solution

The fourth proportional to 2,153.96, 3,229.68 and 1,541.60 is: 2,311.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.96 : 3,229.68 = 1,541.60 : x
  2. Step 2: Convert to fraction form
    2,153.96/3,229.68 = 1,541.60/x
  3. Step 3: Cross multiply
    2,153.96x = 3,229.68 × 1,541.60
  4. Step 4: Simplify right side
    2,153.96x = 4,978,874.69
  5. Step 5: Solve for x
    x = 4,978,874.69/2,153.96
  6. Step 6: Final answer
    x = 2,311.50

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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.