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Finding the Fourth Proportional to 3,072.49, 4,240.53 and 1,813.85

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Solution

The fourth proportional to 3,072.49, 4,240.53 and 1,813.85 is: 2,503.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.49 : 4,240.53 = 1,813.85 : x
  2. Step 2: Convert to fraction form
    3,072.49/4,240.53 = 1,813.85/x
  3. Step 3: Cross multiply
    3,072.49x = 4,240.53 × 1,813.85
  4. Step 4: Simplify right side
    3,072.49x = 7,691,664.14
  5. Step 5: Solve for x
    x = 7,691,664.14/3,072.49
  6. Step 6: Final answer
    x = 2,503.40

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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.