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Finding the Fourth Proportional to 1,777.27, 2,453.46 and 1,180.70

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Solution

The fourth proportional to 1,777.27, 2,453.46 and 1,180.70 is: 1,629.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.27 : 2,453.46 = 1,180.70 : x
  2. Step 2: Convert to fraction form
    1,777.27/2,453.46 = 1,180.70/x
  3. Step 3: Cross multiply
    1,777.27x = 2,453.46 × 1,180.70
  4. Step 4: Simplify right side
    1,777.27x = 2,896,800.22
  5. Step 5: Solve for x
    x = 2,896,800.22/1,777.27
  6. Step 6: Final answer
    x = 1,629.92

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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.