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Finding the Fourth Proportional to 2,116.98, 2,921.42 and 1,185.48

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Solution

The fourth proportional to 2,116.98, 2,921.42 and 1,185.48 is: 1,635.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.98 : 2,921.42 = 1,185.48 : x
  2. Step 2: Convert to fraction form
    2,116.98/2,921.42 = 1,185.48/x
  3. Step 3: Cross multiply
    2,116.98x = 2,921.42 × 1,185.48
  4. Step 4: Simplify right side
    2,116.98x = 3,463,287.95
  5. Step 5: Solve for x
    x = 3,463,287.95/2,116.98
  6. Step 6: Final answer
    x = 1,635.96

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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.