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Finding the Fourth Proportional to 1,361.17, 1,873.65 and 1,186.21

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Solution

The fourth proportional to 1,361.17, 1,873.65 and 1,186.21 is: 1,632.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.17 : 1,873.65 = 1,186.21 : x
  2. Step 2: Convert to fraction form
    1,361.17/1,873.65 = 1,186.21/x
  3. Step 3: Cross multiply
    1,361.17x = 1,873.65 × 1,186.21
  4. Step 4: Simplify right side
    1,361.17x = 2,222,542.37
  5. Step 5: Solve for x
    x = 2,222,542.37/1,361.17
  6. Step 6: Final answer
    x = 1,632.82

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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.