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Finding the Fourth Proportional to 2,665.35, 3,996.63 and 1,203.24

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Solution

The fourth proportional to 2,665.35, 3,996.63 and 1,203.24 is: 1,804.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.35 : 3,996.63 = 1,203.24 : x
  2. Step 2: Convert to fraction form
    2,665.35/3,996.63 = 1,203.24/x
  3. Step 3: Cross multiply
    2,665.35x = 3,996.63 × 1,203.24
  4. Step 4: Simplify right side
    2,665.35x = 4,808,905.08
  5. Step 5: Solve for x
    x = 4,808,905.08/2,665.35
  6. Step 6: Final answer
    x = 1,804.23

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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.