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Finding the Fourth Proportional to 1,977.37, 2,728.47 and 1,180.45

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Solution

The fourth proportional to 1,977.37, 2,728.47 and 1,180.45 is: 1,628.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.37 : 2,728.47 = 1,180.45 : x
  2. Step 2: Convert to fraction form
    1,977.37/2,728.47 = 1,180.45/x
  3. Step 3: Cross multiply
    1,977.37x = 2,728.47 × 1,180.45
  4. Step 4: Simplify right side
    1,977.37x = 3,220,822.41
  5. Step 5: Solve for x
    x = 3,220,822.41/1,977.37
  6. Step 6: Final answer
    x = 1,628.84

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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.