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Finding the Fourth Proportional to 1,540.30, 2,309.91 and 718.42

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Solution

The fourth proportional to 1,540.30, 2,309.91 and 718.42 is: 1,077.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.30 : 2,309.91 = 718.42 : x
  2. Step 2: Convert to fraction form
    1,540.30/2,309.91 = 718.42/x
  3. Step 3: Cross multiply
    1,540.30x = 2,309.91 × 718.42
  4. Step 4: Simplify right side
    1,540.30x = 1,659,485.54
  5. Step 5: Solve for x
    x = 1,659,485.54/1,540.30
  6. Step 6: Final answer
    x = 1,077.38

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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.