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Finding the Fourth Proportional to 1,962.96, 2,942.46 and 867.13

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Solution

The fourth proportional to 1,962.96, 2,942.46 and 867.13 is: 1,299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.96 : 2,942.46 = 867.13 : x
  2. Step 2: Convert to fraction form
    1,962.96/2,942.46 = 867.13/x
  3. Step 3: Cross multiply
    1,962.96x = 2,942.46 × 867.13
  4. Step 4: Simplify right side
    1,962.96x = 2,551,495.34
  5. Step 5: Solve for x
    x = 2,551,495.34/1,962.96
  6. Step 6: Final answer
    x = 1,299.82

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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.