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Finding the Fourth Proportional to 3,263.60, 4,889.25 and 1,619.25

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Solution

The fourth proportional to 3,263.60, 4,889.25 and 1,619.25 is: 2,425.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,263.60 : 4,889.25 = 1,619.25 : x
  2. Step 2: Convert to fraction form
    3,263.60/4,889.25 = 1,619.25/x
  3. Step 3: Cross multiply
    3,263.60x = 4,889.25 × 1,619.25
  4. Step 4: Simplify right side
    3,263.60x = 7,916,918.06
  5. Step 5: Solve for x
    x = 7,916,918.06/3,263.60
  6. Step 6: Final answer
    x = 2,425.82

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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.