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Finding the Fourth Proportional to 2,444.73, 3,667.27 and 983.89

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Solution

The fourth proportional to 2,444.73, 3,667.27 and 983.89 is: 1,475.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.73 : 3,667.27 = 983.89 : x
  2. Step 2: Convert to fraction form
    2,444.73/3,667.27 = 983.89/x
  3. Step 3: Cross multiply
    2,444.73x = 3,667.27 × 983.89
  4. Step 4: Simplify right side
    2,444.73x = 3,608,190.28
  5. Step 5: Solve for x
    x = 3,608,190.28/2,444.73
  6. Step 6: Final answer
    x = 1,475.91

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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.