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Finding the Fourth Proportional to 2,168.63, 2,992.74 and 1,284.25

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Solution

The fourth proportional to 2,168.63, 2,992.74 and 1,284.25 is: 1,772.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.63 : 2,992.74 = 1,284.25 : x
  2. Step 2: Convert to fraction form
    2,168.63/2,992.74 = 1,284.25/x
  3. Step 3: Cross multiply
    2,168.63x = 2,992.74 × 1,284.25
  4. Step 4: Simplify right side
    2,168.63x = 3,843,426.35
  5. Step 5: Solve for x
    x = 3,843,426.35/2,168.63
  6. Step 6: Final answer
    x = 1,772.28

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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.