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Finding the Fourth Proportional to 2,975.96, 4,107.24 and 1,716.76

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Solution

The fourth proportional to 2,975.96, 4,107.24 and 1,716.76 is: 2,369.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.96 : 4,107.24 = 1,716.76 : x
  2. Step 2: Convert to fraction form
    2,975.96/4,107.24 = 1,716.76/x
  3. Step 3: Cross multiply
    2,975.96x = 4,107.24 × 1,716.76
  4. Step 4: Simplify right side
    2,975.96x = 7,051,145.34
  5. Step 5: Solve for x
    x = 7,051,145.34/2,975.96
  6. Step 6: Final answer
    x = 2,369.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.