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Finding the Fourth Proportional to 2,315.42, 3,474.21 and 1,449.26

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Solution

The fourth proportional to 2,315.42, 3,474.21 and 1,449.26 is: 2,174.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.42 : 3,474.21 = 1,449.26 : x
  2. Step 2: Convert to fraction form
    2,315.42/3,474.21 = 1,449.26/x
  3. Step 3: Cross multiply
    2,315.42x = 3,474.21 × 1,449.26
  4. Step 4: Simplify right side
    2,315.42x = 5,035,033.58
  5. Step 5: Solve for x
    x = 5,035,033.58/2,315.42
  6. Step 6: Final answer
    x = 2,174.57

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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.