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Finding the Fourth Proportional to 3,410.73, 5,111.73 and 1,460.97

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Solution

The fourth proportional to 3,410.73, 5,111.73 and 1,460.97 is: 2,189.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.73 : 5,111.73 = 1,460.97 : x
  2. Step 2: Convert to fraction form
    3,410.73/5,111.73 = 1,460.97/x
  3. Step 3: Cross multiply
    3,410.73x = 5,111.73 × 1,460.97
  4. Step 4: Simplify right side
    3,410.73x = 7,468,084.18
  5. Step 5: Solve for x
    x = 7,468,084.18/3,410.73
  6. Step 6: Final answer
    x = 2,189.59

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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.