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Finding the Fourth Proportional to 2,096.69, 3,144.25 and 615.53

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Solution

The fourth proportional to 2,096.69, 3,144.25 and 615.53 is: 923.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.69 : 3,144.25 = 615.53 : x
  2. Step 2: Convert to fraction form
    2,096.69/3,144.25 = 615.53/x
  3. Step 3: Cross multiply
    2,096.69x = 3,144.25 × 615.53
  4. Step 4: Simplify right side
    2,096.69x = 1,935,388.83
  5. Step 5: Solve for x
    x = 1,935,388.83/2,096.69
  6. Step 6: Final answer
    x = 923.07

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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.