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Finding the Fourth Proportional to 3,204.26, 4,804.95 and 1,354.43

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Solution

The fourth proportional to 3,204.26, 4,804.95 and 1,354.43 is: 2,031.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.26 : 4,804.95 = 1,354.43 : x
  2. Step 2: Convert to fraction form
    3,204.26/4,804.95 = 1,354.43/x
  3. Step 3: Cross multiply
    3,204.26x = 4,804.95 × 1,354.43
  4. Step 4: Simplify right side
    3,204.26x = 6,507,941.86
  5. Step 5: Solve for x
    x = 6,507,941.86/3,204.26
  6. Step 6: Final answer
    x = 2,031.03

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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.