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Finding the Fourth Proportional to 3,162.92, 4,744.94 and 1,313.06

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Solution

The fourth proportional to 3,162.92, 4,744.94 and 1,313.06 is: 1,969.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.92 : 4,744.94 = 1,313.06 : x
  2. Step 2: Convert to fraction form
    3,162.92/4,744.94 = 1,313.06/x
  3. Step 3: Cross multiply
    3,162.92x = 4,744.94 × 1,313.06
  4. Step 4: Simplify right side
    3,162.92x = 6,230,360.63
  5. Step 5: Solve for x
    x = 6,230,360.63/3,162.92
  6. Step 6: Final answer
    x = 1,969.82

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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.