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Finding the Fourth Proportional to 1,716.81, 2,575.89 and 743.60

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Solution

The fourth proportional to 1,716.81, 2,575.89 and 743.60 is: 1,115.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.81 : 2,575.89 = 743.60 : x
  2. Step 2: Convert to fraction form
    1,716.81/2,575.89 = 743.60/x
  3. Step 3: Cross multiply
    1,716.81x = 2,575.89 × 743.60
  4. Step 4: Simplify right side
    1,716.81x = 1,915,418.92
  5. Step 5: Solve for x
    x = 1,915,418.92/1,716.81
  6. Step 6: Final answer
    x = 1,115.68

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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.