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Finding the Fourth Proportional to 2,906.98, 4,010.32 and 1,962.48

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Solution

The fourth proportional to 2,906.98, 4,010.32 and 1,962.48 is: 2,707.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.98 : 4,010.32 = 1,962.48 : x
  2. Step 2: Convert to fraction form
    2,906.98/4,010.32 = 1,962.48/x
  3. Step 3: Cross multiply
    2,906.98x = 4,010.32 × 1,962.48
  4. Step 4: Simplify right side
    2,906.98x = 7,870,172.79
  5. Step 5: Solve for x
    x = 7,870,172.79/2,906.98
  6. Step 6: Final answer
    x = 2,707.34

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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.