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Finding the Fourth Proportional to 2,304.12, 3,179.64 and 1,256.19

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Solution

The fourth proportional to 2,304.12, 3,179.64 and 1,256.19 is: 1,733.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.12 : 3,179.64 = 1,256.19 : x
  2. Step 2: Convert to fraction form
    2,304.12/3,179.64 = 1,256.19/x
  3. Step 3: Cross multiply
    2,304.12x = 3,179.64 × 1,256.19
  4. Step 4: Simplify right side
    2,304.12x = 3,994,231.97
  5. Step 5: Solve for x
    x = 3,994,231.97/2,304.12
  6. Step 6: Final answer
    x = 1,733.52

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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.