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Finding the Fourth Proportional to 2,444.79, 3,667.69 and 801.21

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Solution

The fourth proportional to 2,444.79, 3,667.69 and 801.21 is: 1,201.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.79 : 3,667.69 = 801.21 : x
  2. Step 2: Convert to fraction form
    2,444.79/3,667.69 = 801.21/x
  3. Step 3: Cross multiply
    2,444.79x = 3,667.69 × 801.21
  4. Step 4: Simplify right side
    2,444.79x = 2,938,584.03
  5. Step 5: Solve for x
    x = 2,938,584.03/2,444.79
  6. Step 6: Final answer
    x = 1,201.98

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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.