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Finding the Fourth Proportional to 2,168.64, 2,992.75 and 1,284.53

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Solution

The fourth proportional to 2,168.64, 2,992.75 and 1,284.53 is: 1,772.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.64 : 2,992.75 = 1,284.53 : x
  2. Step 2: Convert to fraction form
    2,168.64/2,992.75 = 1,284.53/x
  3. Step 3: Cross multiply
    2,168.64x = 2,992.75 × 1,284.53
  4. Step 4: Simplify right side
    2,168.64x = 3,844,258.98
  5. Step 5: Solve for x
    x = 3,844,258.98/2,168.64
  6. Step 6: Final answer
    x = 1,772.66

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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.