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Finding the Fourth Proportional to 1,422.33, 1,961.04 and 1,186.62

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Solution

The fourth proportional to 1,422.33, 1,961.04 and 1,186.62 is: 1,636.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.33 : 1,961.04 = 1,186.62 : x
  2. Step 2: Convert to fraction form
    1,422.33/1,961.04 = 1,186.62/x
  3. Step 3: Cross multiply
    1,422.33x = 1,961.04 × 1,186.62
  4. Step 4: Simplify right side
    1,422.33x = 2,327,009.28
  5. Step 5: Solve for x
    x = 2,327,009.28/1,422.33
  6. Step 6: Final answer
    x = 1,636.05

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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.