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Finding the Fourth Proportional to 2,367.52, 3,546.42 and 1,902.79

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Solution

The fourth proportional to 2,367.52, 3,546.42 and 1,902.79 is: 2,850.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.52 : 3,546.42 = 1,902.79 : x
  2. Step 2: Convert to fraction form
    2,367.52/3,546.42 = 1,902.79/x
  3. Step 3: Cross multiply
    2,367.52x = 3,546.42 × 1,902.79
  4. Step 4: Simplify right side
    2,367.52x = 6,748,092.51
  5. Step 5: Solve for x
    x = 6,748,092.51/2,367.52
  6. Step 6: Final answer
    x = 2,850.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.