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Finding the Fourth Proportional to 4,456.34, 6,685.26 and 1,645.34

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Solution

The fourth proportional to 4,456.34, 6,685.26 and 1,645.34 is: 2,468.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,456.34 : 6,685.26 = 1,645.34 : x
  2. Step 2: Convert to fraction form
    4,456.34/6,685.26 = 1,645.34/x
  3. Step 3: Cross multiply
    4,456.34x = 6,685.26 × 1,645.34
  4. Step 4: Simplify right side
    4,456.34x = 10,999,525.69
  5. Step 5: Solve for x
    x = 10,999,525.69/4,456.34
  6. Step 6: Final answer
    x = 2,468.29

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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.