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Finding the Fourth Proportional to 3,232.26, 4,459.98 and 1,905.78

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Solution

The fourth proportional to 3,232.26, 4,459.98 and 1,905.78 is: 2,629.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.26 : 4,459.98 = 1,905.78 : x
  2. Step 2: Convert to fraction form
    3,232.26/4,459.98 = 1,905.78/x
  3. Step 3: Cross multiply
    3,232.26x = 4,459.98 × 1,905.78
  4. Step 4: Simplify right side
    3,232.26x = 8,499,740.68
  5. Step 5: Solve for x
    x = 8,499,740.68/3,232.26
  6. Step 6: Final answer
    x = 2,629.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.