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Finding the Fourth Proportional to 1,732.70, 2,391.10 and 946.73

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Solution

The fourth proportional to 1,732.70, 2,391.10 and 946.73 is: 1,306.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.70 : 2,391.10 = 946.73 : x
  2. Step 2: Convert to fraction form
    1,732.70/2,391.10 = 946.73/x
  3. Step 3: Cross multiply
    1,732.70x = 2,391.10 × 946.73
  4. Step 4: Simplify right side
    1,732.70x = 2,263,729.71
  5. Step 5: Solve for x
    x = 2,263,729.71/1,732.70
  6. Step 6: Final answer
    x = 1,306.48

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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.