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Finding the Fourth Proportional to 1,326.05, 1,830.84 and 1,185.72

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Solution

The fourth proportional to 1,326.05, 1,830.84 and 1,185.72 is: 1,637.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.05 : 1,830.84 = 1,185.72 : x
  2. Step 2: Convert to fraction form
    1,326.05/1,830.84 = 1,185.72/x
  3. Step 3: Cross multiply
    1,326.05x = 1,830.84 × 1,185.72
  4. Step 4: Simplify right side
    1,326.05x = 2,170,863.60
  5. Step 5: Solve for x
    x = 2,170,863.60/1,326.05
  6. Step 6: Final answer
    x = 1,637.09

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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.