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Finding the Fourth Proportional to 2,304.17, 3,179.74 and 1,309.49

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Solution

The fourth proportional to 2,304.17, 3,179.74 and 1,309.49 is: 1,807.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.17 : 3,179.74 = 1,309.49 : x
  2. Step 2: Convert to fraction form
    2,304.17/3,179.74 = 1,309.49/x
  3. Step 3: Cross multiply
    2,304.17x = 3,179.74 × 1,309.49
  4. Step 4: Simplify right side
    2,304.17x = 4,163,837.73
  5. Step 5: Solve for x
    x = 4,163,837.73/2,304.17
  6. Step 6: Final answer
    x = 1,807.09

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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.