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Finding the Fourth Proportional to 2,906.57, 4,010.55 and 1,647.50

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Solution

The fourth proportional to 2,906.57, 4,010.55 and 1,647.50 is: 2,273.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.57 : 4,010.55 = 1,647.50 : x
  2. Step 2: Convert to fraction form
    2,906.57/4,010.55 = 1,647.50/x
  3. Step 3: Cross multiply
    2,906.57x = 4,010.55 × 1,647.50
  4. Step 4: Simplify right side
    2,906.57x = 6,607,361.07
  5. Step 5: Solve for x
    x = 6,607,361.07/2,906.57
  6. Step 6: Final answer
    x = 2,273.25

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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.