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Finding the Fourth Proportional to 2,273.70, 3,137.58 and 1,434.54

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Solution

The fourth proportional to 2,273.70, 3,137.58 and 1,434.54 is: 1,979.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.70 : 3,137.58 = 1,434.54 : x
  2. Step 2: Convert to fraction form
    2,273.70/3,137.58 = 1,434.54/x
  3. Step 3: Cross multiply
    2,273.70x = 3,137.58 × 1,434.54
  4. Step 4: Simplify right side
    2,273.70x = 4,500,984.01
  5. Step 5: Solve for x
    x = 4,500,984.01/2,273.70
  6. Step 6: Final answer
    x = 1,979.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.