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Finding the Fourth Proportional to 2,304.08, 3,179.62 and 1,256.14

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Solution

The fourth proportional to 2,304.08, 3,179.62 and 1,256.14 is: 1,733.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.08 : 3,179.62 = 1,256.14 : x
  2. Step 2: Convert to fraction form
    2,304.08/3,179.62 = 1,256.14/x
  3. Step 3: Cross multiply
    2,304.08x = 3,179.62 × 1,256.14
  4. Step 4: Simplify right side
    2,304.08x = 3,994,053.41
  5. Step 5: Solve for x
    x = 3,994,053.41/2,304.08
  6. Step 6: Final answer
    x = 1,733.47

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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.