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Finding the Fourth Proportional to 2,674.84, 4,014.11 and 943.47

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Solution

The fourth proportional to 2,674.84, 4,014.11 and 943.47 is: 1,415.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.84 : 4,014.11 = 943.47 : x
  2. Step 2: Convert to fraction form
    2,674.84/4,014.11 = 943.47/x
  3. Step 3: Cross multiply
    2,674.84x = 4,014.11 × 943.47
  4. Step 4: Simplify right side
    2,674.84x = 3,787,192.36
  5. Step 5: Solve for x
    x = 3,787,192.36/2,674.84
  6. Step 6: Final answer
    x = 1,415.86

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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.