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Finding the Fourth Proportional to 2,881.98, 3,976.26 and 1,761.75

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Solution

The fourth proportional to 2,881.98, 3,976.26 and 1,761.75 is: 2,430.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.98 : 3,976.26 = 1,761.75 : x
  2. Step 2: Convert to fraction form
    2,881.98/3,976.26 = 1,761.75/x
  3. Step 3: Cross multiply
    2,881.98x = 3,976.26 × 1,761.75
  4. Step 4: Simplify right side
    2,881.98x = 7,005,169.45
  5. Step 5: Solve for x
    x = 7,005,169.45/2,881.98
  6. Step 6: Final answer
    x = 2,430.68

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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.