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Finding the Fourth Proportional to 2,722.94, 3,757.64 and 1,480.94

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Solution

The fourth proportional to 2,722.94, 3,757.64 and 1,480.94 is: 2,043.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.94 : 3,757.64 = 1,480.94 : x
  2. Step 2: Convert to fraction form
    2,722.94/3,757.64 = 1,480.94/x
  3. Step 3: Cross multiply
    2,722.94x = 3,757.64 × 1,480.94
  4. Step 4: Simplify right side
    2,722.94x = 5,564,839.38
  5. Step 5: Solve for x
    x = 5,564,839.38/2,722.94
  6. Step 6: Final answer
    x = 2,043.69

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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.