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Finding the Fourth Proportional to 2,906.45, 4,010.84 and 1,647.47

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Solution

The fourth proportional to 2,906.45, 4,010.84 and 1,647.47 is: 2,273.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.45 : 4,010.84 = 1,647.47 : x
  2. Step 2: Convert to fraction form
    2,906.45/4,010.84 = 1,647.47/x
  3. Step 3: Cross multiply
    2,906.45x = 4,010.84 × 1,647.47
  4. Step 4: Simplify right side
    2,906.45x = 6,607,710.28
  5. Step 5: Solve for x
    x = 6,607,710.28/2,906.45
  6. Step 6: Final answer
    x = 2,273.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.