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Finding the Fourth Proportional to 2,674.68, 4,012.98 and 943.56

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Solution

The fourth proportional to 2,674.68, 4,012.98 and 943.56 is: 1,415.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.68 : 4,012.98 = 943.56 : x
  2. Step 2: Convert to fraction form
    2,674.68/4,012.98 = 943.56/x
  3. Step 3: Cross multiply
    2,674.68x = 4,012.98 × 943.56
  4. Step 4: Simplify right side
    2,674.68x = 3,786,487.41
  5. Step 5: Solve for x
    x = 3,786,487.41/2,674.68
  6. Step 6: Final answer
    x = 1,415.68

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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.