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Finding the Fourth Proportional to 3,203.26, 4,805.56 and 1,354.40

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Solution

The fourth proportional to 3,203.26, 4,805.56 and 1,354.40 is: 2,031.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.26 : 4,805.56 = 1,354.40 : x
  2. Step 2: Convert to fraction form
    3,203.26/4,805.56 = 1,354.40/x
  3. Step 3: Cross multiply
    3,203.26x = 4,805.56 × 1,354.40
  4. Step 4: Simplify right side
    3,203.26x = 6,508,650.46
  5. Step 5: Solve for x
    x = 6,508,650.46/3,203.26
  6. Step 6: Final answer
    x = 2,031.88

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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.