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Finding the Fourth Proportional to 1,659.13, 2,489.64 and 793.51

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Solution

The fourth proportional to 1,659.13, 2,489.64 and 793.51 is: 1,190.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.13 : 2,489.64 = 793.51 : x
  2. Step 2: Convert to fraction form
    1,659.13/2,489.64 = 793.51/x
  3. Step 3: Cross multiply
    1,659.13x = 2,489.64 × 793.51
  4. Step 4: Simplify right side
    1,659.13x = 1,975,554.24
  5. Step 5: Solve for x
    x = 1,975,554.24/1,659.13
  6. Step 6: Final answer
    x = 1,190.72

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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.