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Finding the Fourth Proportional to 1,942.76, 2,912.09 and 846.83

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Solution

The fourth proportional to 1,942.76, 2,912.09 and 846.83 is: 1,269.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.76 : 2,912.09 = 846.83 : x
  2. Step 2: Convert to fraction form
    1,942.76/2,912.09 = 846.83/x
  3. Step 3: Cross multiply
    1,942.76x = 2,912.09 × 846.83
  4. Step 4: Simplify right side
    1,942.76x = 2,466,026.38
  5. Step 5: Solve for x
    x = 2,466,026.38/1,942.76
  6. Step 6: Final answer
    x = 1,269.35

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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.