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Finding the Fourth Proportional to 1,241.32, 1,860.42 and 1,086.88

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Solution

The fourth proportional to 1,241.32, 1,860.42 and 1,086.88 is: 1,628.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.32 : 1,860.42 = 1,086.88 : x
  2. Step 2: Convert to fraction form
    1,241.32/1,860.42 = 1,086.88/x
  3. Step 3: Cross multiply
    1,241.32x = 1,860.42 × 1,086.88
  4. Step 4: Simplify right side
    1,241.32x = 2,022,053.29
  5. Step 5: Solve for x
    x = 2,022,053.29/1,241.32
  6. Step 6: Final answer
    x = 1,628.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.