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Finding the Fourth Proportional to 2,709.05, 4,062.15 and 1,322.63

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Solution

The fourth proportional to 2,709.05, 4,062.15 and 1,322.63 is: 1,983.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.05 : 4,062.15 = 1,322.63 : x
  2. Step 2: Convert to fraction form
    2,709.05/4,062.15 = 1,322.63/x
  3. Step 3: Cross multiply
    2,709.05x = 4,062.15 × 1,322.63
  4. Step 4: Simplify right side
    2,709.05x = 5,372,716.38
  5. Step 5: Solve for x
    x = 5,372,716.38/2,709.05
  6. Step 6: Final answer
    x = 1,983.25

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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.