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Finding the Fourth Proportional to 3,234.60, 4,842.30 and 2,140.20

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Solution

The fourth proportional to 3,234.60, 4,842.30 and 2,140.20 is: 3,203.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.60 : 4,842.30 = 2,140.20 : x
  2. Step 2: Convert to fraction form
    3,234.60/4,842.30 = 2,140.20/x
  3. Step 3: Cross multiply
    3,234.60x = 4,842.30 × 2,140.20
  4. Step 4: Simplify right side
    3,234.60x = 10,363,490.46
  5. Step 5: Solve for x
    x = 10,363,490.46/3,234.60
  6. Step 6: Final answer
    x = 3,203.95

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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.