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Finding the Fourth Proportional to 1,945.34, 2,682.80 and 1,449.22

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Solution

The fourth proportional to 1,945.34, 2,682.80 and 1,449.22 is: 1,998.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.34 : 2,682.80 = 1,449.22 : x
  2. Step 2: Convert to fraction form
    1,945.34/2,682.80 = 1,449.22/x
  3. Step 3: Cross multiply
    1,945.34x = 2,682.80 × 1,449.22
  4. Step 4: Simplify right side
    1,945.34x = 3,887,967.42
  5. Step 5: Solve for x
    x = 3,887,967.42/1,945.34
  6. Step 6: Final answer
    x = 1,998.61

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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.