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Finding the Fourth Proportional to 1,960.84, 2,941.98 and 1,474.84

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Solution

The fourth proportional to 1,960.84, 2,941.98 and 1,474.84 is: 2,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.84 : 2,941.98 = 1,474.84 : x
  2. Step 2: Convert to fraction form
    1,960.84/2,941.98 = 1,474.84/x
  3. Step 3: Cross multiply
    1,960.84x = 2,941.98 × 1,474.84
  4. Step 4: Simplify right side
    1,960.84x = 4,338,949.78
  5. Step 5: Solve for x
    x = 4,338,949.78/1,960.84
  6. Step 6: Final answer
    x = 2,212.80

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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.