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Finding the Fourth Proportional to 2,158.26, 2,978.05 and 1,273.94

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Solution

The fourth proportional to 2,158.26, 2,978.05 and 1,273.94 is: 1,757.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.26 : 2,978.05 = 1,273.94 : x
  2. Step 2: Convert to fraction form
    2,158.26/2,978.05 = 1,273.94/x
  3. Step 3: Cross multiply
    2,158.26x = 2,978.05 × 1,273.94
  4. Step 4: Simplify right side
    2,158.26x = 3,793,857.02
  5. Step 5: Solve for x
    x = 3,793,857.02/2,158.26
  6. Step 6: Final answer
    x = 1,757.83

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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.