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Finding the Fourth Proportional to 2,739.77, 3,781.32 and 1,561.22

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Solution

The fourth proportional to 2,739.77, 3,781.32 and 1,561.22 is: 2,154.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.77 : 3,781.32 = 1,561.22 : x
  2. Step 2: Convert to fraction form
    2,739.77/3,781.32 = 1,561.22/x
  3. Step 3: Cross multiply
    2,739.77x = 3,781.32 × 1,561.22
  4. Step 4: Simplify right side
    2,739.77x = 5,903,472.41
  5. Step 5: Solve for x
    x = 5,903,472.41/2,739.77
  6. Step 6: Final answer
    x = 2,154.73

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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.