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Finding the Fourth Proportional to 2,112.51, 3,163.98 and 1,017.66

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Solution

The fourth proportional to 2,112.51, 3,163.98 and 1,017.66 is: 1,524.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.51 : 3,163.98 = 1,017.66 : x
  2. Step 2: Convert to fraction form
    2,112.51/3,163.98 = 1,017.66/x
  3. Step 3: Cross multiply
    2,112.51x = 3,163.98 × 1,017.66
  4. Step 4: Simplify right side
    2,112.51x = 3,219,855.89
  5. Step 5: Solve for x
    x = 3,219,855.89/2,112.51
  6. Step 6: Final answer
    x = 1,524.18

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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.