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Finding the Fourth Proportional to 1,777.55, 2,451.18 and 1,179.82

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Solution

The fourth proportional to 1,777.55, 2,451.18 and 1,179.82 is: 1,626.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.55 : 2,451.18 = 1,179.82 : x
  2. Step 2: Convert to fraction form
    1,777.55/2,451.18 = 1,179.82/x
  3. Step 3: Cross multiply
    1,777.55x = 2,451.18 × 1,179.82
  4. Step 4: Simplify right side
    1,777.55x = 2,891,954.25
  5. Step 5: Solve for x
    x = 2,891,954.25/1,777.55
  6. Step 6: Final answer
    x = 1,626.94

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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.