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Finding the Fourth Proportional to 2,557.54, 3,832.20 and 2,311.50

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Solution

The fourth proportional to 2,557.54, 3,832.20 and 2,311.50 is: 3,463.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.54 : 3,832.20 = 2,311.50 : x
  2. Step 2: Convert to fraction form
    2,557.54/3,832.20 = 2,311.50/x
  3. Step 3: Cross multiply
    2,557.54x = 3,832.20 × 2,311.50
  4. Step 4: Simplify right side
    2,557.54x = 8,858,139.88
  5. Step 5: Solve for x
    x = 8,858,139.88/2,557.54
  6. Step 6: Final answer
    x = 3,463.54

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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.