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Finding the Fourth Proportional to 2,659.05, 3,986 and 1,489.62

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Solution

The fourth proportional to 2,659.05, 3,986 and 1,489.62 is: 2,232.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.05 : 3,986 = 1,489.62 : x
  2. Step 2: Convert to fraction form
    2,659.05/3,986 = 1,489.62/x
  3. Step 3: Cross multiply
    2,659.05x = 3,986 × 1,489.62
  4. Step 4: Simplify right side
    2,659.05x = 5,937,625.32
  5. Step 5: Solve for x
    x = 5,937,625.32/2,659.05
  6. Step 6: Final answer
    x = 2,232.99

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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.