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Finding the Fourth Proportional to 1,930.11, 2,892.74 and 956.49

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Solution

The fourth proportional to 1,930.11, 2,892.74 and 956.49 is: 1,433.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.11 : 2,892.74 = 956.49 : x
  2. Step 2: Convert to fraction form
    1,930.11/2,892.74 = 956.49/x
  3. Step 3: Cross multiply
    1,930.11x = 2,892.74 × 956.49
  4. Step 4: Simplify right side
    1,930.11x = 2,766,872.10
  5. Step 5: Solve for x
    x = 2,766,872.10/1,930.11
  6. Step 6: Final answer
    x = 1,433.53

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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.