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Finding the Fourth Proportional to 3,096.79, 4,642.89 and 1,614.49

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Solution

The fourth proportional to 3,096.79, 4,642.89 and 1,614.49 is: 2,420.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.79 : 4,642.89 = 1,614.49 : x
  2. Step 2: Convert to fraction form
    3,096.79/4,642.89 = 1,614.49/x
  3. Step 3: Cross multiply
    3,096.79x = 4,642.89 × 1,614.49
  4. Step 4: Simplify right side
    3,096.79x = 7,495,899.48
  5. Step 5: Solve for x
    x = 7,495,899.48/3,096.79
  6. Step 6: Final answer
    x = 2,420.54

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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.