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Finding the Fourth Proportional to 2,168.64, 2,991.56 and 1,284.30

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Solution

The fourth proportional to 2,168.64, 2,991.56 and 1,284.30 is: 1,771.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.64 : 2,991.56 = 1,284.30 : x
  2. Step 2: Convert to fraction form
    2,168.64/2,991.56 = 1,284.30/x
  3. Step 3: Cross multiply
    2,168.64x = 2,991.56 × 1,284.30
  4. Step 4: Simplify right side
    2,168.64x = 3,842,054.09
  5. Step 5: Solve for x
    x = 3,842,054.09/2,168.64
  6. Step 6: Final answer
    x = 1,771.64

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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.