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Finding the Fourth Proportional to 2,964.68, 4,446.33 and 1,320.33

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Solution

The fourth proportional to 2,964.68, 4,446.33 and 1,320.33 is: 1,980.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.68 : 4,446.33 = 1,320.33 : x
  2. Step 2: Convert to fraction form
    2,964.68/4,446.33 = 1,320.33/x
  3. Step 3: Cross multiply
    2,964.68x = 4,446.33 × 1,320.33
  4. Step 4: Simplify right side
    2,964.68x = 5,870,617.03
  5. Step 5: Solve for x
    x = 5,870,617.03/2,964.68
  6. Step 6: Final answer
    x = 1,980.19

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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.