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Finding the Fourth Proportional to 2,679.82, 4,020.13 and 948.31

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Solution

The fourth proportional to 2,679.82, 4,020.13 and 948.31 is: 1,422.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.82 : 4,020.13 = 948.31 : x
  2. Step 2: Convert to fraction form
    2,679.82/4,020.13 = 948.31/x
  3. Step 3: Cross multiply
    2,679.82x = 4,020.13 × 948.31
  4. Step 4: Simplify right side
    2,679.82x = 3,812,320.62
  5. Step 5: Solve for x
    x = 3,812,320.62/2,679.82
  6. Step 6: Final answer
    x = 1,422.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.