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Finding the Fourth Proportional to 2,168.22, 3,251.99 and 707.36

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Solution

The fourth proportional to 2,168.22, 3,251.99 and 707.36 is: 1,060.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.22 : 3,251.99 = 707.36 : x
  2. Step 2: Convert to fraction form
    2,168.22/3,251.99 = 707.36/x
  3. Step 3: Cross multiply
    2,168.22x = 3,251.99 × 707.36
  4. Step 4: Simplify right side
    2,168.22x = 2,300,327.65
  5. Step 5: Solve for x
    x = 2,300,327.65/2,168.22
  6. Step 6: Final answer
    x = 1,060.93

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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.