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Finding the Fourth Proportional to 3,334.50, 5,001.75 and 1,691.10

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Solution

The fourth proportional to 3,334.50, 5,001.75 and 1,691.10 is: 2,536.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,334.50 : 5,001.75 = 1,691.10 : x
  2. Step 2: Convert to fraction form
    3,334.50/5,001.75 = 1,691.10/x
  3. Step 3: Cross multiply
    3,334.50x = 5,001.75 × 1,691.10
  4. Step 4: Simplify right side
    3,334.50x = 8,458,459.43
  5. Step 5: Solve for x
    x = 8,458,459.43/3,334.50
  6. Step 6: Final answer
    x = 2,536.65

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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.