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Finding the Fourth Proportional to 1,294.92, 1,942.12 and 1,076.95

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Solution

The fourth proportional to 1,294.92, 1,942.12 and 1,076.95 is: 1,615.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.92 : 1,942.12 = 1,076.95 : x
  2. Step 2: Convert to fraction form
    1,294.92/1,942.12 = 1,076.95/x
  3. Step 3: Cross multiply
    1,294.92x = 1,942.12 × 1,076.95
  4. Step 4: Simplify right side
    1,294.92x = 2,091,557.72
  5. Step 5: Solve for x
    x = 2,091,557.72/1,294.92
  6. Step 6: Final answer
    x = 1,615.20

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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.