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Finding the Fourth Proportional to 2,665.90, 3,997.48 and 1,434.35

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Solution

The fourth proportional to 2,665.90, 3,997.48 and 1,434.35 is: 2,150.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.90 : 3,997.48 = 1,434.35 : x
  2. Step 2: Convert to fraction form
    2,665.90/3,997.48 = 1,434.35/x
  3. Step 3: Cross multiply
    2,665.90x = 3,997.48 × 1,434.35
  4. Step 4: Simplify right side
    2,665.90x = 5,733,785.44
  5. Step 5: Solve for x
    x = 5,733,785.44/2,665.90
  6. Step 6: Final answer
    x = 2,150.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.