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Finding the Fourth Proportional to 2,674.84, 4,012.98 and 943.64

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Solution

The fourth proportional to 2,674.84, 4,012.98 and 943.64 is: 1,415.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.84 : 4,012.98 = 943.64 : x
  2. Step 2: Convert to fraction form
    2,674.84/4,012.98 = 943.64/x
  3. Step 3: Cross multiply
    2,674.84x = 4,012.98 × 943.64
  4. Step 4: Simplify right side
    2,674.84x = 3,786,808.45
  5. Step 5: Solve for x
    x = 3,786,808.45/2,674.84
  6. Step 6: Final answer
    x = 1,415.71

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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.