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Finding the Fourth Proportional to 3,235.12, 4,840.80 and 2,003.20

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Solution

The fourth proportional to 3,235.12, 4,840.80 and 2,003.20 is: 2,997.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,235.12 : 4,840.80 = 2,003.20 : x
  2. Step 2: Convert to fraction form
    3,235.12/4,840.80 = 2,003.20/x
  3. Step 3: Cross multiply
    3,235.12x = 4,840.80 × 2,003.20
  4. Step 4: Simplify right side
    3,235.12x = 9,697,090.56
  5. Step 5: Solve for x
    x = 9,697,090.56/3,235.12
  6. Step 6: Final answer
    x = 2,997.44

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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.