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Finding the Fourth Proportional to 3,204.09, 4,803.30 and 1,354.86

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Solution

The fourth proportional to 3,204.09, 4,803.30 and 1,354.86 is: 2,031.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.09 : 4,803.30 = 1,354.86 : x
  2. Step 2: Convert to fraction form
    3,204.09/4,803.30 = 1,354.86/x
  3. Step 3: Cross multiply
    3,204.09x = 4,803.30 × 1,354.86
  4. Step 4: Simplify right side
    3,204.09x = 6,507,799.04
  5. Step 5: Solve for x
    x = 6,507,799.04/3,204.09
  6. Step 6: Final answer
    x = 2,031.09

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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.