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Finding the Fourth Proportional to 2,504.16, 3,756.20 and 838.39

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Solution

The fourth proportional to 2,504.16, 3,756.20 and 838.39 is: 1,257.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.16 : 3,756.20 = 838.39 : x
  2. Step 2: Convert to fraction form
    2,504.16/3,756.20 = 838.39/x
  3. Step 3: Cross multiply
    2,504.16x = 3,756.20 × 838.39
  4. Step 4: Simplify right side
    2,504.16x = 3,149,156.33
  5. Step 5: Solve for x
    x = 3,149,156.33/2,504.16
  6. Step 6: Final answer
    x = 1,257.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.