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Finding the Fourth Proportional to 3,105.97, 4,652.26 and 1,460.05

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Solution

The fourth proportional to 3,105.97, 4,652.26 and 1,460.05 is: 2,186.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.97 : 4,652.26 = 1,460.05 : x
  2. Step 2: Convert to fraction form
    3,105.97/4,652.26 = 1,460.05/x
  3. Step 3: Cross multiply
    3,105.97x = 4,652.26 × 1,460.05
  4. Step 4: Simplify right side
    3,105.97x = 6,792,532.21
  5. Step 5: Solve for x
    x = 6,792,532.21/3,105.97
  6. Step 6: Final answer
    x = 2,186.93

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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.