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Finding the Fourth Proportional to 1,951.75, 2,929.11 and 1,027.14

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Solution

The fourth proportional to 1,951.75, 2,929.11 and 1,027.14 is: 1,541.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.75 : 2,929.11 = 1,027.14 : x
  2. Step 2: Convert to fraction form
    1,951.75/2,929.11 = 1,027.14/x
  3. Step 3: Cross multiply
    1,951.75x = 2,929.11 × 1,027.14
  4. Step 4: Simplify right side
    1,951.75x = 3,008,606.05
  5. Step 5: Solve for x
    x = 3,008,606.05/1,951.75
  6. Step 6: Final answer
    x = 1,541.49

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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.