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Finding the Fourth Proportional to 1,733.43, 2,391.97 and 977.26

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Solution

The fourth proportional to 1,733.43, 2,391.97 and 977.26 is: 1,348.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.43 : 2,391.97 = 977.26 : x
  2. Step 2: Convert to fraction form
    1,733.43/2,391.97 = 977.26/x
  3. Step 3: Cross multiply
    1,733.43x = 2,391.97 × 977.26
  4. Step 4: Simplify right side
    1,733.43x = 2,337,577.62
  5. Step 5: Solve for x
    x = 2,337,577.62/1,733.43
  6. Step 6: Final answer
    x = 1,348.53

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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.