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Finding the Fourth Proportional to 1,962.10, 2,942.67 and 663.22

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Solution

The fourth proportional to 1,962.10, 2,942.67 and 663.22 is: 994.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.10 : 2,942.67 = 663.22 : x
  2. Step 2: Convert to fraction form
    1,962.10/2,942.67 = 663.22/x
  3. Step 3: Cross multiply
    1,962.10x = 2,942.67 × 663.22
  4. Step 4: Simplify right side
    1,962.10x = 1,951,637.60
  5. Step 5: Solve for x
    x = 1,951,637.60/1,962.10
  6. Step 6: Final answer
    x = 994.67

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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.