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Finding the Fourth Proportional to 1,930.86, 2,665.98 and 1,185.83

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Solution

The fourth proportional to 1,930.86, 2,665.98 and 1,185.83 is: 1,637.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.86 : 2,665.98 = 1,185.83 : x
  2. Step 2: Convert to fraction form
    1,930.86/2,665.98 = 1,185.83/x
  3. Step 3: Cross multiply
    1,930.86x = 2,665.98 × 1,185.83
  4. Step 4: Simplify right side
    1,930.86x = 3,161,399.06
  5. Step 5: Solve for x
    x = 3,161,399.06/1,930.86
  6. Step 6: Final answer
    x = 1,637.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.