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Finding the Fourth Proportional to 2,674.37, 4,011.55 and 943.13

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Solution

The fourth proportional to 2,674.37, 4,011.55 and 943.13 is: 1,414.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.37 : 4,011.55 = 943.13 : x
  2. Step 2: Convert to fraction form
    2,674.37/4,011.55 = 943.13/x
  3. Step 3: Cross multiply
    2,674.37x = 4,011.55 × 943.13
  4. Step 4: Simplify right side
    2,674.37x = 3,783,393.09
  5. Step 5: Solve for x
    x = 3,783,393.09/2,674.37
  6. Step 6: Final answer
    x = 1,414.69

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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.