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Finding the Fourth Proportional to 1,660.09, 2,290.93 and 951.97

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Solution

The fourth proportional to 1,660.09, 2,290.93 and 951.97 is: 1,313.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.09 : 2,290.93 = 951.97 : x
  2. Step 2: Convert to fraction form
    1,660.09/2,290.93 = 951.97/x
  3. Step 3: Cross multiply
    1,660.09x = 2,290.93 × 951.97
  4. Step 4: Simplify right side
    1,660.09x = 2,180,896.98
  5. Step 5: Solve for x
    x = 2,180,896.98/1,660.09
  6. Step 6: Final answer
    x = 1,313.72

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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.