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Finding the Fourth Proportional to 2,315.42, 3,489.24 and 2,096.12

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Solution

The fourth proportional to 2,315.42, 3,489.24 and 2,096.12 is: 3,158.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.42 : 3,489.24 = 2,096.12 : x
  2. Step 2: Convert to fraction form
    2,315.42/3,489.24 = 2,096.12/x
  3. Step 3: Cross multiply
    2,315.42x = 3,489.24 × 2,096.12
  4. Step 4: Simplify right side
    2,315.42x = 7,313,837.82
  5. Step 5: Solve for x
    x = 7,313,837.82/2,315.42
  6. Step 6: Final answer
    x = 3,158.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.