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Finding the Fourth Proportional to 1,634.51, 2,255.63 and 935.89

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Solution

The fourth proportional to 1,634.51, 2,255.63 and 935.89 is: 1,291.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.51 : 2,255.63 = 935.89 : x
  2. Step 2: Convert to fraction form
    1,634.51/2,255.63 = 935.89/x
  3. Step 3: Cross multiply
    1,634.51x = 2,255.63 × 935.89
  4. Step 4: Simplify right side
    1,634.51x = 2,111,021.56
  5. Step 5: Solve for x
    x = 2,111,021.56/1,634.51
  6. Step 6: Final answer
    x = 1,291.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.