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Finding the Fourth Proportional to 3,100.37, 4,651.08 and 1,540.46

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Solution

The fourth proportional to 3,100.37, 4,651.08 and 1,540.46 is: 2,310.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.37 : 4,651.08 = 1,540.46 : x
  2. Step 2: Convert to fraction form
    3,100.37/4,651.08 = 1,540.46/x
  3. Step 3: Cross multiply
    3,100.37x = 4,651.08 × 1,540.46
  4. Step 4: Simplify right side
    3,100.37x = 7,164,802.70
  5. Step 5: Solve for x
    x = 7,164,802.70/3,100.37
  6. Step 6: Final answer
    x = 2,310.95

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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.