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Finding the Fourth Proportional to 2,096.15, 3,144.72 and 615.32

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Solution

The fourth proportional to 2,096.15, 3,144.72 and 615.32 is: 923.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.15 : 3,144.72 = 615.32 : x
  2. Step 2: Convert to fraction form
    2,096.15/3,144.72 = 615.32/x
  3. Step 3: Cross multiply
    2,096.15x = 3,144.72 × 615.32
  4. Step 4: Simplify right side
    2,096.15x = 1,934,990.31
  5. Step 5: Solve for x
    x = 1,934,990.31/2,096.15
  6. Step 6: Final answer
    x = 923.12

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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.