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Finding the Fourth Proportional to 1,930.82, 2,896.18 and 929.94

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Solution

The fourth proportional to 1,930.82, 2,896.18 and 929.94 is: 1,394.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.82 : 2,896.18 = 929.94 : x
  2. Step 2: Convert to fraction form
    1,930.82/2,896.18 = 929.94/x
  3. Step 3: Cross multiply
    1,930.82x = 2,896.18 × 929.94
  4. Step 4: Simplify right side
    1,930.82x = 2,693,273.63
  5. Step 5: Solve for x
    x = 2,693,273.63/1,930.82
  6. Step 6: Final answer
    x = 1,394.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.