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Finding the Fourth Proportional to 1,182.82, 1,620.47 and 1,138.48

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Solution

The fourth proportional to 1,182.82, 1,620.47 and 1,138.48 is: 1,559.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.82 : 1,620.47 = 1,138.48 : x
  2. Step 2: Convert to fraction form
    1,182.82/1,620.47 = 1,138.48/x
  3. Step 3: Cross multiply
    1,182.82x = 1,620.47 × 1,138.48
  4. Step 4: Simplify right side
    1,182.82x = 1,844,878.46
  5. Step 5: Solve for x
    x = 1,844,878.46/1,182.82
  6. Step 6: Final answer
    x = 1,559.73

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.