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Finding the Fourth Proportional to 2,276, 3,138 and 1,809.44

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Solution

The fourth proportional to 2,276, 3,138 and 1,809.44 is: 2,494.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276 : 3,138 = 1,809.44 : x
  2. Step 2: Convert to fraction form
    2,276/3,138 = 1,809.44/x
  3. Step 3: Cross multiply
    2,276x = 3,138 × 1,809.44
  4. Step 4: Simplify right side
    2,276x = 5,678,022.72
  5. Step 5: Solve for x
    x = 5,678,022.72/2,276
  6. Step 6: Final answer
    x = 2,494.74

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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.