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Finding the Fourth Proportional to 3,229.58, 4,845.32 and 1,670.46

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Solution

The fourth proportional to 3,229.58, 4,845.32 and 1,670.46 is: 2,506.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.58 : 4,845.32 = 1,670.46 : x
  2. Step 2: Convert to fraction form
    3,229.58/4,845.32 = 1,670.46/x
  3. Step 3: Cross multiply
    3,229.58x = 4,845.32 × 1,670.46
  4. Step 4: Simplify right side
    3,229.58x = 8,093,913.25
  5. Step 5: Solve for x
    x = 8,093,913.25/3,229.58
  6. Step 6: Final answer
    x = 2,506.18

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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.