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Finding the Fourth Proportional to 2,304.14, 3,179.74 and 1,256.22

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Solution

The fourth proportional to 2,304.14, 3,179.74 and 1,256.22 is: 1,733.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.14 : 3,179.74 = 1,256.22 : x
  2. Step 2: Convert to fraction form
    2,304.14/3,179.74 = 1,256.22/x
  3. Step 3: Cross multiply
    2,304.14x = 3,179.74 × 1,256.22
  4. Step 4: Simplify right side
    2,304.14x = 3,994,452.98
  5. Step 5: Solve for x
    x = 3,994,452.98/2,304.14
  6. Step 6: Final answer
    x = 1,733.60

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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.