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Finding the Fourth Proportional to 2,965.73, 4,448.94 and 1,322.07

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Solution

The fourth proportional to 2,965.73, 4,448.94 and 1,322.07 is: 1,983.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.73 : 4,448.94 = 1,322.07 : x
  2. Step 2: Convert to fraction form
    2,965.73/4,448.94 = 1,322.07/x
  3. Step 3: Cross multiply
    2,965.73x = 4,448.94 × 1,322.07
  4. Step 4: Simplify right side
    2,965.73x = 5,881,820.93
  5. Step 5: Solve for x
    x = 5,881,820.93/2,965.73
  6. Step 6: Final answer
    x = 1,983.26

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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.