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Finding the Fourth Proportional to 2,444.46, 3,667.05 and 884.58

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Solution

The fourth proportional to 2,444.46, 3,667.05 and 884.58 is: 1,327.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.46 : 3,667.05 = 884.58 : x
  2. Step 2: Convert to fraction form
    2,444.46/3,667.05 = 884.58/x
  3. Step 3: Cross multiply
    2,444.46x = 3,667.05 × 884.58
  4. Step 4: Simplify right side
    2,444.46x = 3,243,799.09
  5. Step 5: Solve for x
    x = 3,243,799.09/2,444.46
  6. Step 6: Final answer
    x = 1,327.00

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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.