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Finding the Fourth Proportional to 2,734.46, 4,096.02 and 2,033

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Solution

The fourth proportional to 2,734.46, 4,096.02 and 2,033 is: 3,045.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.46 : 4,096.02 = 2,033 : x
  2. Step 2: Convert to fraction form
    2,734.46/4,096.02 = 2,033/x
  3. Step 3: Cross multiply
    2,734.46x = 4,096.02 × 2,033
  4. Step 4: Simplify right side
    2,734.46x = 8,327,208.66
  5. Step 5: Solve for x
    x = 8,327,208.66/2,734.46
  6. Step 6: Final answer
    x = 3,045.28

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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.