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Finding the Fourth Proportional to 2,444.56, 3,667.41 and 884.29

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Solution

The fourth proportional to 2,444.56, 3,667.41 and 884.29 is: 1,326.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.56 : 3,667.41 = 884.29 : x
  2. Step 2: Convert to fraction form
    2,444.56/3,667.41 = 884.29/x
  3. Step 3: Cross multiply
    2,444.56x = 3,667.41 × 884.29
  4. Step 4: Simplify right side
    2,444.56x = 3,243,053.99
  5. Step 5: Solve for x
    x = 3,243,053.99/2,444.56
  6. Step 6: Final answer
    x = 1,326.64

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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.