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Finding the Fourth Proportional to 2,318.73, 3,199.80 and 1,434.30

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Solution

The fourth proportional to 2,318.73, 3,199.80 and 1,434.30 is: 1,979.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.73 : 3,199.80 = 1,434.30 : x
  2. Step 2: Convert to fraction form
    2,318.73/3,199.80 = 1,434.30/x
  3. Step 3: Cross multiply
    2,318.73x = 3,199.80 × 1,434.30
  4. Step 4: Simplify right side
    2,318.73x = 4,589,473.14
  5. Step 5: Solve for x
    x = 4,589,473.14/2,318.73
  6. Step 6: Final answer
    x = 1,979.30

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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.