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Finding the Fourth Proportional to 2,642.50, 3,962.76 and 2,121.22

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Solution

The fourth proportional to 2,642.50, 3,962.76 and 2,121.22 is: 3,181.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.50 : 3,962.76 = 2,121.22 : x
  2. Step 2: Convert to fraction form
    2,642.50/3,962.76 = 2,121.22/x
  3. Step 3: Cross multiply
    2,642.50x = 3,962.76 × 2,121.22
  4. Step 4: Simplify right side
    2,642.50x = 8,405,885.77
  5. Step 5: Solve for x
    x = 8,405,885.77/2,642.50
  6. Step 6: Final answer
    x = 3,181.04

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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.