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Finding the Fourth Proportional to 2,108.69, 3,162.30 and 627.50

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Solution

The fourth proportional to 2,108.69, 3,162.30 and 627.50 is: 941.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.69 : 3,162.30 = 627.50 : x
  2. Step 2: Convert to fraction form
    2,108.69/3,162.30 = 627.50/x
  3. Step 3: Cross multiply
    2,108.69x = 3,162.30 × 627.50
  4. Step 4: Simplify right side
    2,108.69x = 1,984,343.25
  5. Step 5: Solve for x
    x = 1,984,343.25/2,108.69
  6. Step 6: Final answer
    x = 941.03

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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.