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Finding the Fourth Proportional to 1,777.73, 2,451.21 and 1,461.83

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Solution

The fourth proportional to 1,777.73, 2,451.21 and 1,461.83 is: 2,015.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.73 : 2,451.21 = 1,461.83 : x
  2. Step 2: Convert to fraction form
    1,777.73/2,451.21 = 1,461.83/x
  3. Step 3: Cross multiply
    1,777.73x = 2,451.21 × 1,461.83
  4. Step 4: Simplify right side
    1,777.73x = 3,583,252.31
  5. Step 5: Solve for x
    x = 3,583,252.31/1,777.73
  6. Step 6: Final answer
    x = 2,015.63

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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.