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Finding the Fourth Proportional to 2,665.37, 3,996.02 and 1,786.48

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Solution

The fourth proportional to 2,665.37, 3,996.02 and 1,786.48 is: 2,678.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.37 : 3,996.02 = 1,786.48 : x
  2. Step 2: Convert to fraction form
    2,665.37/3,996.02 = 1,786.48/x
  3. Step 3: Cross multiply
    2,665.37x = 3,996.02 × 1,786.48
  4. Step 4: Simplify right side
    2,665.37x = 7,138,804.29
  5. Step 5: Solve for x
    x = 7,138,804.29/2,665.37
  6. Step 6: Final answer
    x = 2,678.35

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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.