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Finding the Fourth Proportional to 1,633.94, 2,255.14 and 935.31

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Solution

The fourth proportional to 1,633.94, 2,255.14 and 935.31 is: 1,290.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.94 : 2,255.14 = 935.31 : x
  2. Step 2: Convert to fraction form
    1,633.94/2,255.14 = 935.31/x
  3. Step 3: Cross multiply
    1,633.94x = 2,255.14 × 935.31
  4. Step 4: Simplify right side
    1,633.94x = 2,109,254.99
  5. Step 5: Solve for x
    x = 2,109,254.99/1,633.94
  6. Step 6: Final answer
    x = 1,290.90

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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.