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Finding the Fourth Proportional to 2,739.80, 3,781.14 and 1,560.96

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Solution

The fourth proportional to 2,739.80, 3,781.14 and 1,560.96 is: 2,154.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.80 : 3,781.14 = 1,560.96 : x
  2. Step 2: Convert to fraction form
    2,739.80/3,781.14 = 1,560.96/x
  3. Step 3: Cross multiply
    2,739.80x = 3,781.14 × 1,560.96
  4. Step 4: Simplify right side
    2,739.80x = 5,902,208.29
  5. Step 5: Solve for x
    x = 5,902,208.29/2,739.80
  6. Step 6: Final answer
    x = 2,154.25

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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.