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Finding the Fourth Proportional to 2,273.49, 3,137.20 and 1,390.19

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Solution

The fourth proportional to 2,273.49, 3,137.20 and 1,390.19 is: 1,918.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.49 : 3,137.20 = 1,390.19 : x
  2. Step 2: Convert to fraction form
    2,273.49/3,137.20 = 1,390.19/x
  3. Step 3: Cross multiply
    2,273.49x = 3,137.20 × 1,390.19
  4. Step 4: Simplify right side
    2,273.49x = 4,361,284.91
  5. Step 5: Solve for x
    x = 4,361,284.91/2,273.49
  6. Step 6: Final answer
    x = 1,918.32

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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.