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Finding the Fourth Proportional to 2,444.08, 3,667.28 and 984.32

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Solution

The fourth proportional to 2,444.08, 3,667.28 and 984.32 is: 1,476.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.08 : 3,667.28 = 984.32 : x
  2. Step 2: Convert to fraction form
    2,444.08/3,667.28 = 984.32/x
  3. Step 3: Cross multiply
    2,444.08x = 3,667.28 × 984.32
  4. Step 4: Simplify right side
    2,444.08x = 3,609,777.05
  5. Step 5: Solve for x
    x = 3,609,777.05/2,444.08
  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.