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Finding the Fourth Proportional to 1,672.32, 2,517.38 and 1,284.48

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Solution

The fourth proportional to 1,672.32, 2,517.38 and 1,284.48 is: 1,933.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.32 : 2,517.38 = 1,284.48 : x
  2. Step 2: Convert to fraction form
    1,672.32/2,517.38 = 1,284.48/x
  3. Step 3: Cross multiply
    1,672.32x = 2,517.38 × 1,284.48
  4. Step 4: Simplify right side
    1,672.32x = 3,233,524.26
  5. Step 5: Solve for x
    x = 3,233,524.26/1,672.32
  6. Step 6: Final answer
    x = 1,933.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.