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Finding the Fourth Proportional to 2,679.83, 4,020.35 and 948.46

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Solution

The fourth proportional to 2,679.83, 4,020.35 and 948.46 is: 1,422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.83 : 4,020.35 = 948.46 : x
  2. Step 2: Convert to fraction form
    2,679.83/4,020.35 = 948.46/x
  3. Step 3: Cross multiply
    2,679.83x = 4,020.35 × 948.46
  4. Step 4: Simplify right side
    2,679.83x = 3,813,121.06
  5. Step 5: Solve for x
    x = 3,813,121.06/2,679.83
  6. Step 6: Final answer
    x = 1,422.90

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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.