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Finding the Fourth Proportional to 3,163.53, 4,744.77 and 971.67

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Solution

The fourth proportional to 3,163.53, 4,744.77 and 971.67 is: 1,457.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.53 : 4,744.77 = 971.67 : x
  2. Step 2: Convert to fraction form
    3,163.53/4,744.77 = 971.67/x
  3. Step 3: Cross multiply
    3,163.53x = 4,744.77 × 971.67
  4. Step 4: Simplify right side
    3,163.53x = 4,610,350.67
  5. Step 5: Solve for x
    x = 4,610,350.67/3,163.53
  6. Step 6: Final answer
    x = 1,457.34

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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.