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Finding the Fourth Proportional to 3,234.48, 4,844.70 and 2,002.20

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Solution

The fourth proportional to 3,234.48, 4,844.70 and 2,002.20 is: 2,998.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.48 : 4,844.70 = 2,002.20 : x
  2. Step 2: Convert to fraction form
    3,234.48/4,844.70 = 2,002.20/x
  3. Step 3: Cross multiply
    3,234.48x = 4,844.70 × 2,002.20
  4. Step 4: Simplify right side
    3,234.48x = 9,700,058.34
  5. Step 5: Solve for x
    x = 9,700,058.34/3,234.48
  6. Step 6: Final answer
    x = 2,998.95

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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.