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Finding the Fourth Proportional to 2,443.95, 3,667.73 and 984.15

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Solution

The fourth proportional to 2,443.95, 3,667.73 and 984.15 is: 1,476.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.95 : 3,667.73 = 984.15 : x
  2. Step 2: Convert to fraction form
    2,443.95/3,667.73 = 984.15/x
  3. Step 3: Cross multiply
    2,443.95x = 3,667.73 × 984.15
  4. Step 4: Simplify right side
    2,443.95x = 3,609,591.56
  5. Step 5: Solve for x
    x = 3,609,591.56/2,443.95
  6. Step 6: Final answer
    x = 1,476.95

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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.