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Finding the Fourth Proportional to 3,162.77, 4,744.46 and 1,313.84

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Solution

The fourth proportional to 3,162.77, 4,744.46 and 1,313.84 is: 1,970.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.77 : 4,744.46 = 1,313.84 : x
  2. Step 2: Convert to fraction form
    3,162.77/4,744.46 = 1,313.84/x
  3. Step 3: Cross multiply
    3,162.77x = 4,744.46 × 1,313.84
  4. Step 4: Simplify right side
    3,162.77x = 6,233,461.33
  5. Step 5: Solve for x
    x = 6,233,461.33/3,162.77
  6. Step 6: Final answer
    x = 1,970.89

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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.