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Finding the Fourth Proportional to 1,515.51, 2,091.39 and 843.31

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Solution

The fourth proportional to 1,515.51, 2,091.39 and 843.31 is: 1,163.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.51 : 2,091.39 = 843.31 : x
  2. Step 2: Convert to fraction form
    1,515.51/2,091.39 = 843.31/x
  3. Step 3: Cross multiply
    1,515.51x = 2,091.39 × 843.31
  4. Step 4: Simplify right side
    1,515.51x = 1,763,689.55
  5. Step 5: Solve for x
    x = 1,763,689.55/1,515.51
  6. Step 6: Final answer
    x = 1,163.76

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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.