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Finding the Fourth Proportional to 2,868.69, 3,958.80 and 1,674.50

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Solution

The fourth proportional to 2,868.69, 3,958.80 and 1,674.50 is: 2,310.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.69 : 3,958.80 = 1,674.50 : x
  2. Step 2: Convert to fraction form
    2,868.69/3,958.80 = 1,674.50/x
  3. Step 3: Cross multiply
    2,868.69x = 3,958.80 × 1,674.50
  4. Step 4: Simplify right side
    2,868.69x = 6,629,010.60
  5. Step 5: Solve for x
    x = 6,629,010.60/2,868.69
  6. Step 6: Final answer
    x = 2,310.81

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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.