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Finding the Fourth Proportional to 2,709.98, 4,065.03 and 1,323.12

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Solution

The fourth proportional to 2,709.98, 4,065.03 and 1,323.12 is: 1,984.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.98 : 4,065.03 = 1,323.12 : x
  2. Step 2: Convert to fraction form
    2,709.98/4,065.03 = 1,323.12/x
  3. Step 3: Cross multiply
    2,709.98x = 4,065.03 × 1,323.12
  4. Step 4: Simplify right side
    2,709.98x = 5,378,522.49
  5. Step 5: Solve for x
    x = 5,378,522.49/2,709.98
  6. Step 6: Final answer
    x = 1,984.71

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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.