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Finding the Fourth Proportional to 2,304.14, 3,179.73 and 1,256.24

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Solution

The fourth proportional to 2,304.14, 3,179.73 and 1,256.24 is: 1,733.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.14 : 3,179.73 = 1,256.24 : x
  2. Step 2: Convert to fraction form
    2,304.14/3,179.73 = 1,256.24/x
  3. Step 3: Cross multiply
    2,304.14x = 3,179.73 × 1,256.24
  4. Step 4: Simplify right side
    2,304.14x = 3,994,504.02
  5. Step 5: Solve for x
    x = 3,994,504.02/2,304.14
  6. Step 6: Final answer
    x = 1,733.62

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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.