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Finding the Fourth Proportional to 2,615.31, 3,924.32 and 1,738.42

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Solution

The fourth proportional to 2,615.31, 3,924.32 and 1,738.42 is: 2,608.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.31 : 3,924.32 = 1,738.42 : x
  2. Step 2: Convert to fraction form
    2,615.31/3,924.32 = 1,738.42/x
  3. Step 3: Cross multiply
    2,615.31x = 3,924.32 × 1,738.42
  4. Step 4: Simplify right side
    2,615.31x = 6,822,097.87
  5. Step 5: Solve for x
    x = 6,822,097.87/2,615.31
  6. Step 6: Final answer
    x = 2,608.52

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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.