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Finding the Fourth Proportional to 2,674.84, 4,013.34 and 943.60

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Solution

The fourth proportional to 2,674.84, 4,013.34 and 943.60 is: 1,415.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.84 : 4,013.34 = 943.60 : x
  2. Step 2: Convert to fraction form
    2,674.84/4,013.34 = 943.60/x
  3. Step 3: Cross multiply
    2,674.84x = 4,013.34 × 943.60
  4. Step 4: Simplify right side
    2,674.84x = 3,786,987.62
  5. Step 5: Solve for x
    x = 3,786,987.62/2,674.84
  6. Step 6: Final answer
    x = 1,415.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.