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Finding the Fourth Proportional to 3,230.80, 4,842.60 and 1,670.20

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Solution

The fourth proportional to 3,230.80, 4,842.60 and 1,670.20 is: 2,503.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.80 : 4,842.60 = 1,670.20 : x
  2. Step 2: Convert to fraction form
    3,230.80/4,842.60 = 1,670.20/x
  3. Step 3: Cross multiply
    3,230.80x = 4,842.60 × 1,670.20
  4. Step 4: Simplify right side
    3,230.80x = 8,088,110.52
  5. Step 5: Solve for x
    x = 8,088,110.52/3,230.80
  6. Step 6: Final answer
    x = 2,503.44

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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.