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Finding the Fourth Proportional to 2,112.64, 3,166.80 and 1,017.20

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Solution

The fourth proportional to 2,112.64, 3,166.80 and 1,017.20 is: 1,524.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.64 : 3,166.80 = 1,017.20 : x
  2. Step 2: Convert to fraction form
    2,112.64/3,166.80 = 1,017.20/x
  3. Step 3: Cross multiply
    2,112.64x = 3,166.80 × 1,017.20
  4. Step 4: Simplify right side
    2,112.64x = 3,221,268.96
  5. Step 5: Solve for x
    x = 3,221,268.96/2,112.64
  6. Step 6: Final answer
    x = 1,524.76

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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.