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Finding the Fourth Proportional to 1,940.84, 2,924.23 and 1,755.98

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Solution

The fourth proportional to 1,940.84, 2,924.23 and 1,755.98 is: 2,645.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.84 : 2,924.23 = 1,755.98 : x
  2. Step 2: Convert to fraction form
    1,940.84/2,924.23 = 1,755.98/x
  3. Step 3: Cross multiply
    1,940.84x = 2,924.23 × 1,755.98
  4. Step 4: Simplify right side
    1,940.84x = 5,134,884.64
  5. Step 5: Solve for x
    x = 5,134,884.64/1,940.84
  6. Step 6: Final answer
    x = 2,645.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.