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Finding the Fourth Proportional to 2,733.78, 3,771.78 and 1,614.84

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Solution

The fourth proportional to 2,733.78, 3,771.78 and 1,614.84 is: 2,227.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.78 : 3,771.78 = 1,614.84 : x
  2. Step 2: Convert to fraction form
    2,733.78/3,771.78 = 1,614.84/x
  3. Step 3: Cross multiply
    2,733.78x = 3,771.78 × 1,614.84
  4. Step 4: Simplify right side
    2,733.78x = 6,090,821.22
  5. Step 5: Solve for x
    x = 6,090,821.22/2,733.78
  6. Step 6: Final answer
    x = 2,227.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.