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Finding the Fourth Proportional to 1,540.82, 2,309.63 and 718.43

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Solution

The fourth proportional to 1,540.82, 2,309.63 and 718.43 is: 1,076.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.82 : 2,309.63 = 718.43 : x
  2. Step 2: Convert to fraction form
    1,540.82/2,309.63 = 718.43/x
  3. Step 3: Cross multiply
    1,540.82x = 2,309.63 × 718.43
  4. Step 4: Simplify right side
    1,540.82x = 1,659,292.34
  5. Step 5: Solve for x
    x = 1,659,292.34/1,540.82
  6. Step 6: Final answer
    x = 1,076.89

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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.