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Finding the Fourth Proportional to 1,650.73, 2,278.80 and 951.97

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Solution

The fourth proportional to 1,650.73, 2,278.80 and 951.97 is: 1,314.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.73 : 2,278.80 = 951.97 : x
  2. Step 2: Convert to fraction form
    1,650.73/2,278.80 = 951.97/x
  3. Step 3: Cross multiply
    1,650.73x = 2,278.80 × 951.97
  4. Step 4: Simplify right side
    1,650.73x = 2,169,349.24
  5. Step 5: Solve for x
    x = 2,169,349.24/1,650.73
  6. Step 6: Final answer
    x = 1,314.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.