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Finding the Fourth Proportional to 1,294.90, 1,942.16 and 1,076.94

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Solution

The fourth proportional to 1,294.90, 1,942.16 and 1,076.94 is: 1,615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.90 : 1,942.16 = 1,076.94 : x
  2. Step 2: Convert to fraction form
    1,294.90/1,942.16 = 1,076.94/x
  3. Step 3: Cross multiply
    1,294.90x = 1,942.16 × 1,076.94
  4. Step 4: Simplify right side
    1,294.90x = 2,091,589.79
  5. Step 5: Solve for x
    x = 2,091,589.79/1,294.90
  6. Step 6: Final answer
    x = 1,615.25

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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.