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Finding the Fourth Proportional to 2,456.73, 3,679.29 and 1,283.58

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Solution

The fourth proportional to 2,456.73, 3,679.29 and 1,283.58 is: 1,922.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.73 : 3,679.29 = 1,283.58 : x
  2. Step 2: Convert to fraction form
    2,456.73/3,679.29 = 1,283.58/x
  3. Step 3: Cross multiply
    2,456.73x = 3,679.29 × 1,283.58
  4. Step 4: Simplify right side
    2,456.73x = 4,722,663.06
  5. Step 5: Solve for x
    x = 4,722,663.06/2,456.73
  6. Step 6: Final answer
    x = 1,922.34

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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.