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Finding the Fourth Proportional to 2,168.33, 3,251.15 and 707.27

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Solution

The fourth proportional to 2,168.33, 3,251.15 and 707.27 is: 1,060.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.33 : 3,251.15 = 707.27 : x
  2. Step 2: Convert to fraction form
    2,168.33/3,251.15 = 707.27/x
  3. Step 3: Cross multiply
    2,168.33x = 3,251.15 × 707.27
  4. Step 4: Simplify right side
    2,168.33x = 2,299,437.32
  5. Step 5: Solve for x
    x = 2,299,437.32/2,168.33
  6. Step 6: Final answer
    x = 1,060.46

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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.