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Finding the Fourth Proportional to 3,202.86, 4,805.04 and 1,354.14

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Solution

The fourth proportional to 3,202.86, 4,805.04 and 1,354.14 is: 2,031.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.86 : 4,805.04 = 1,354.14 : x
  2. Step 2: Convert to fraction form
    3,202.86/4,805.04 = 1,354.14/x
  3. Step 3: Cross multiply
    3,202.86x = 4,805.04 × 1,354.14
  4. Step 4: Simplify right side
    3,202.86x = 6,506,696.87
  5. Step 5: Solve for x
    x = 6,506,696.87/3,202.86
  6. Step 6: Final answer
    x = 2,031.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.