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Finding the Fourth Proportional to 2,829.67, 4,244.46 and 881.98

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Solution

The fourth proportional to 2,829.67, 4,244.46 and 881.98 is: 1,322.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.67 : 4,244.46 = 881.98 : x
  2. Step 2: Convert to fraction form
    2,829.67/4,244.46 = 881.98/x
  3. Step 3: Cross multiply
    2,829.67x = 4,244.46 × 881.98
  4. Step 4: Simplify right side
    2,829.67x = 3,743,528.83
  5. Step 5: Solve for x
    x = 3,743,528.83/2,829.67
  6. Step 6: Final answer
    x = 1,322.96

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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.