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Finding the Fourth Proportional to 1,977.48, 2,729.03 and 1,180.71

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Solution

The fourth proportional to 1,977.48, 2,729.03 and 1,180.71 is: 1,629.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.48 : 2,729.03 = 1,180.71 : x
  2. Step 2: Convert to fraction form
    1,977.48/2,729.03 = 1,180.71/x
  3. Step 3: Cross multiply
    1,977.48x = 2,729.03 × 1,180.71
  4. Step 4: Simplify right side
    1,977.48x = 3,222,187.11
  5. Step 5: Solve for x
    x = 3,222,187.11/1,977.48
  6. Step 6: Final answer
    x = 1,629.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.