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Finding the Fourth Proportional to 4,608.64, 6,910.56 and 1,645.94

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Solution

The fourth proportional to 4,608.64, 6,910.56 and 1,645.94 is: 2,468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.64 : 6,910.56 = 1,645.94 : x
  2. Step 2: Convert to fraction form
    4,608.64/6,910.56 = 1,645.94/x
  3. Step 3: Cross multiply
    4,608.64x = 6,910.56 × 1,645.94
  4. Step 4: Simplify right side
    4,608.64x = 11,374,367.13
  5. Step 5: Solve for x
    x = 11,374,367.13/4,608.64
  6. Step 6: Final answer
    x = 2,468.05

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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.