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Finding the Fourth Proportional to 1,229.64, 1,837.27 and 1,186.58

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Solution

The fourth proportional to 1,229.64, 1,837.27 and 1,186.58 is: 1,772.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.64 : 1,837.27 = 1,186.58 : x
  2. Step 2: Convert to fraction form
    1,229.64/1,837.27 = 1,186.58/x
  3. Step 3: Cross multiply
    1,229.64x = 1,837.27 × 1,186.58
  4. Step 4: Simplify right side
    1,229.64x = 2,180,067.84
  5. Step 5: Solve for x
    x = 2,180,067.84/1,229.64
  6. Step 6: Final answer
    x = 1,772.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.