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Finding the Fourth Proportional to 2,443.41, 3,667.20 and 983.61

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Solution

The fourth proportional to 2,443.41, 3,667.20 and 983.61 is: 1,476.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.41 : 3,667.20 = 983.61 : x
  2. Step 2: Convert to fraction form
    2,443.41/3,667.20 = 983.61/x
  3. Step 3: Cross multiply
    2,443.41x = 3,667.20 × 983.61
  4. Step 4: Simplify right side
    2,443.41x = 3,607,094.59
  5. Step 5: Solve for x
    x = 3,607,094.59/2,443.41
  6. Step 6: Final answer
    x = 1,476.25

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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.