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Finding the Fourth Proportional to 2,665.16, 3,996.36 and 1,203.51

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Solution

The fourth proportional to 2,665.16, 3,996.36 and 1,203.51 is: 1,804.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.16 : 3,996.36 = 1,203.51 : x
  2. Step 2: Convert to fraction form
    2,665.16/3,996.36 = 1,203.51/x
  3. Step 3: Cross multiply
    2,665.16x = 3,996.36 × 1,203.51
  4. Step 4: Simplify right side
    2,665.16x = 4,809,659.22
  5. Step 5: Solve for x
    x = 4,809,659.22/2,665.16
  6. Step 6: Final answer
    x = 1,804.65

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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.