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Finding the Fourth Proportional to 2,674.34, 4,012.23 and 943.14

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Solution

The fourth proportional to 2,674.34, 4,012.23 and 943.14 is: 1,414.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.34 : 4,012.23 = 943.14 : x
  2. Step 2: Convert to fraction form
    2,674.34/4,012.23 = 943.14/x
  3. Step 3: Cross multiply
    2,674.34x = 4,012.23 × 943.14
  4. Step 4: Simplify right side
    2,674.34x = 3,784,094.60
  5. Step 5: Solve for x
    x = 3,784,094.60/2,674.34
  6. Step 6: Final answer
    x = 1,414.96

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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.