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Finding the Fourth Proportional to 2,273.25, 3,137.22 and 1,389.27

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Solution

The fourth proportional to 2,273.25, 3,137.22 and 1,389.27 is: 1,917.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.25 : 3,137.22 = 1,389.27 : x
  2. Step 2: Convert to fraction form
    2,273.25/3,137.22 = 1,389.27/x
  3. Step 3: Cross multiply
    2,273.25x = 3,137.22 × 1,389.27
  4. Step 4: Simplify right side
    2,273.25x = 4,358,445.63
  5. Step 5: Solve for x
    x = 4,358,445.63/2,273.25
  6. Step 6: Final answer
    x = 1,917.28

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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.