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Finding the Fourth Proportional to 2,112.56, 3,167.40 and 1,017.44

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Solution

The fourth proportional to 2,112.56, 3,167.40 and 1,017.44 is: 1,525.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.56 : 3,167.40 = 1,017.44 : x
  2. Step 2: Convert to fraction form
    2,112.56/3,167.40 = 1,017.44/x
  3. Step 3: Cross multiply
    2,112.56x = 3,167.40 × 1,017.44
  4. Step 4: Simplify right side
    2,112.56x = 3,222,639.46
  5. Step 5: Solve for x
    x = 3,222,639.46/2,112.56
  6. Step 6: Final answer
    x = 1,525.47

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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.