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Finding the Fourth Proportional to 3,072.45, 4,239.76 and 1,813.44

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Solution

The fourth proportional to 3,072.45, 4,239.76 and 1,813.44 is: 2,502.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.45 : 4,239.76 = 1,813.44 : x
  2. Step 2: Convert to fraction form
    3,072.45/4,239.76 = 1,813.44/x
  3. Step 3: Cross multiply
    3,072.45x = 4,239.76 × 1,813.44
  4. Step 4: Simplify right side
    3,072.45x = 7,688,550.37
  5. Step 5: Solve for x
    x = 7,688,550.37/3,072.45
  6. Step 6: Final answer
    x = 2,502.42

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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.