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Finding the Fourth Proportional to 3,160.83, 4,361.89 and 1,744.65

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Solution

The fourth proportional to 3,160.83, 4,361.89 and 1,744.65 is: 2,407.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.83 : 4,361.89 = 1,744.65 : x
  2. Step 2: Convert to fraction form
    3,160.83/4,361.89 = 1,744.65/x
  3. Step 3: Cross multiply
    3,160.83x = 4,361.89 × 1,744.65
  4. Step 4: Simplify right side
    3,160.83x = 7,609,971.39
  5. Step 5: Solve for x
    x = 7,609,971.39/3,160.83
  6. Step 6: Final answer
    x = 2,407.59

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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.