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Finding the Fourth Proportional to 3,185.70, 4,777.08 and 1,540.43

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Solution

The fourth proportional to 3,185.70, 4,777.08 and 1,540.43 is: 2,309.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.70 : 4,777.08 = 1,540.43 : x
  2. Step 2: Convert to fraction form
    3,185.70/4,777.08 = 1,540.43/x
  3. Step 3: Cross multiply
    3,185.70x = 4,777.08 × 1,540.43
  4. Step 4: Simplify right side
    3,185.70x = 7,358,757.34
  5. Step 5: Solve for x
    x = 7,358,757.34/3,185.70
  6. Step 6: Final answer
    x = 2,309.93

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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.