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Finding the Fourth Proportional to 2,168.12, 3,251.48 and 706.96

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Solution

The fourth proportional to 2,168.12, 3,251.48 and 706.96 is: 1,060.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.12 : 3,251.48 = 706.96 : x
  2. Step 2: Convert to fraction form
    2,168.12/3,251.48 = 706.96/x
  3. Step 3: Cross multiply
    2,168.12x = 3,251.48 × 706.96
  4. Step 4: Simplify right side
    2,168.12x = 2,298,666.30
  5. Step 5: Solve for x
    x = 2,298,666.30/2,168.12
  6. Step 6: Final answer
    x = 1,060.21

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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.