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Finding the Fourth Proportional to 1,732.70, 2,391.03 and 946.77

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Solution

The fourth proportional to 1,732.70, 2,391.03 and 946.77 is: 1,306.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.70 : 2,391.03 = 946.77 : x
  2. Step 2: Convert to fraction form
    1,732.70/2,391.03 = 946.77/x
  3. Step 3: Cross multiply
    1,732.70x = 2,391.03 × 946.77
  4. Step 4: Simplify right side
    1,732.70x = 2,263,755.47
  5. Step 5: Solve for x
    x = 2,263,755.47/1,732.70
  6. Step 6: Final answer
    x = 1,306.49

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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.