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Finding the Fourth Proportional to 1,930.97, 2,665.00 and 1,184.79

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Solution

The fourth proportional to 1,930.97, 2,665.00 and 1,184.79 is: 1,635.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.97 : 2,665.00 = 1,184.79 : x
  2. Step 2: Convert to fraction form
    1,930.97/2,665.00 = 1,184.79/x
  3. Step 3: Cross multiply
    1,930.97x = 2,665.00 × 1,184.79
  4. Step 4: Simplify right side
    1,930.97x = 3,157,476.82
  5. Step 5: Solve for x
    x = 3,157,476.82/1,930.97
  6. Step 6: Final answer
    x = 1,635.17

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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.