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Finding the Fourth Proportional to 2,164.28, 3,245.72 and 703.08

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Solution

The fourth proportional to 2,164.28, 3,245.72 and 703.08 is: 1,054.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.28 : 3,245.72 = 703.08 : x
  2. Step 2: Convert to fraction form
    2,164.28/3,245.72 = 703.08/x
  3. Step 3: Cross multiply
    2,164.28x = 3,245.72 × 703.08
  4. Step 4: Simplify right side
    2,164.28x = 2,281,997.30
  5. Step 5: Solve for x
    x = 2,281,997.30/2,164.28
  6. Step 6: Final answer
    x = 1,054.39

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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.