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Finding the Fourth Proportional to 1,273.29, 1,742.01 and 1,267.83

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Solution

The fourth proportional to 1,273.29, 1,742.01 and 1,267.83 is: 1,734.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.29 : 1,742.01 = 1,267.83 : x
  2. Step 2: Convert to fraction form
    1,273.29/1,742.01 = 1,267.83/x
  3. Step 3: Cross multiply
    1,273.29x = 1,742.01 × 1,267.83
  4. Step 4: Simplify right side
    1,273.29x = 2,208,572.54
  5. Step 5: Solve for x
    x = 2,208,572.54/1,273.29
  6. Step 6: Final answer
    x = 1,734.54

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.