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Finding the Fourth Proportional to 2,444.80, 3,667.82 and 984.92

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Solution

The fourth proportional to 2,444.80, 3,667.82 and 984.92 is: 1,477.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.80 : 3,667.82 = 984.92 : x
  2. Step 2: Convert to fraction form
    2,444.80/3,667.82 = 984.92/x
  3. Step 3: Cross multiply
    2,444.80x = 3,667.82 × 984.92
  4. Step 4: Simplify right side
    2,444.80x = 3,612,509.27
  5. Step 5: Solve for x
    x = 3,612,509.27/2,444.80
  6. Step 6: Final answer
    x = 1,477.63

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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.