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Finding the Fourth Proportional to 2,841.18, 4,261.85 and 967.04

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Solution

The fourth proportional to 2,841.18, 4,261.85 and 967.04 is: 1,450.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.18 : 4,261.85 = 967.04 : x
  2. Step 2: Convert to fraction form
    2,841.18/4,261.85 = 967.04/x
  3. Step 3: Cross multiply
    2,841.18x = 4,261.85 × 967.04
  4. Step 4: Simplify right side
    2,841.18x = 4,121,372.89
  5. Step 5: Solve for x
    x = 4,121,372.89/2,841.18
  6. Step 6: Final answer
    x = 1,450.59

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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.