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Finding the Fourth Proportional to 3,162.36, 4,744.24 and 971.31

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Solution

The fourth proportional to 3,162.36, 4,744.24 and 971.31 is: 1,457.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.36 : 4,744.24 = 971.31 : x
  2. Step 2: Convert to fraction form
    3,162.36/4,744.24 = 971.31/x
  3. Step 3: Cross multiply
    3,162.36x = 4,744.24 × 971.31
  4. Step 4: Simplify right side
    3,162.36x = 4,608,104.03
  5. Step 5: Solve for x
    x = 4,608,104.03/3,162.36
  6. Step 6: Final answer
    x = 1,457.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.