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Finding the Fourth Proportional to 3,163.23, 4,744.85 and 971.99

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Solution

The fourth proportional to 3,163.23, 4,744.85 and 971.99 is: 1,457.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.23 : 4,744.85 = 971.99 : x
  2. Step 2: Convert to fraction form
    3,163.23/4,744.85 = 971.99/x
  3. Step 3: Cross multiply
    3,163.23x = 4,744.85 × 971.99
  4. Step 4: Simplify right side
    3,163.23x = 4,611,918.17
  5. Step 5: Solve for x
    x = 4,611,918.17/3,163.23
  6. Step 6: Final answer
    x = 1,457.98

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1.5x scale

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.