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Finding the Fourth Proportional to 1,608.88, 2,402.57 and 1,375.33

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Solution

The fourth proportional to 1,608.88, 2,402.57 and 1,375.33 is: 2,053.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.88 : 2,402.57 = 1,375.33 : x
  2. Step 2: Convert to fraction form
    1,608.88/2,402.57 = 1,375.33/x
  3. Step 3: Cross multiply
    1,608.88x = 2,402.57 × 1,375.33
  4. Step 4: Simplify right side
    1,608.88x = 3,304,326.60
  5. Step 5: Solve for x
    x = 3,304,326.60/1,608.88
  6. Step 6: Final answer
    x = 2,053.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.