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Finding the Fourth Proportional to 2,381.01, 3,571.94 and 737.44

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Solution

The fourth proportional to 2,381.01, 3,571.94 and 737.44 is: 1,106.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.01 : 3,571.94 = 737.44 : x
  2. Step 2: Convert to fraction form
    2,381.01/3,571.94 = 737.44/x
  3. Step 3: Cross multiply
    2,381.01x = 3,571.94 × 737.44
  4. Step 4: Simplify right side
    2,381.01x = 2,634,091.43
  5. Step 5: Solve for x
    x = 2,634,091.43/2,381.01
  6. Step 6: Final answer
    x = 1,106.29

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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.