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Finding the Fourth Proportional to 3,163.55, 4,741.11 and 1,313.60

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Solution

The fourth proportional to 3,163.55, 4,741.11 and 1,313.60 is: 1,968.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.55 : 4,741.11 = 1,313.60 : x
  2. Step 2: Convert to fraction form
    3,163.55/4,741.11 = 1,313.60/x
  3. Step 3: Cross multiply
    3,163.55x = 4,741.11 × 1,313.60
  4. Step 4: Simplify right side
    3,163.55x = 6,227,898.39
  5. Step 5: Solve for x
    x = 6,227,898.39/3,163.55
  6. Step 6: Final answer
    x = 1,968.65

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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.