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Finding the Fourth Proportional to 3,097.28, 4,643.04 and 2,123.84

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Solution

The fourth proportional to 3,097.28, 4,643.04 and 2,123.84 is: 3,183.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.28 : 4,643.04 = 2,123.84 : x
  2. Step 2: Convert to fraction form
    3,097.28/4,643.04 = 2,123.84/x
  3. Step 3: Cross multiply
    3,097.28x = 4,643.04 × 2,123.84
  4. Step 4: Simplify right side
    3,097.28x = 9,861,074.07
  5. Step 5: Solve for x
    x = 9,861,074.07/3,097.28
  6. Step 6: Final answer
    x = 3,183.79

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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.