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Finding the Fourth Proportional to 2,504.68, 3,756.17 and 838.43

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Solution

The fourth proportional to 2,504.68, 3,756.17 and 838.43 is: 1,257.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.68 : 3,756.17 = 838.43 : x
  2. Step 2: Convert to fraction form
    2,504.68/3,756.17 = 838.43/x
  3. Step 3: Cross multiply
    2,504.68x = 3,756.17 × 838.43
  4. Step 4: Simplify right side
    2,504.68x = 3,149,290.81
  5. Step 5: Solve for x
    x = 3,149,290.81/2,504.68
  6. Step 6: Final answer
    x = 1,257.36

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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.