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Finding the Fourth Proportional to 3,077.53, 4,612.34 and 1,496.97

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Solution

The fourth proportional to 3,077.53, 4,612.34 and 1,496.97 is: 2,243.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.53 : 4,612.34 = 1,496.97 : x
  2. Step 2: Convert to fraction form
    3,077.53/4,612.34 = 1,496.97/x
  3. Step 3: Cross multiply
    3,077.53x = 4,612.34 × 1,496.97
  4. Step 4: Simplify right side
    3,077.53x = 6,904,555.65
  5. Step 5: Solve for x
    x = 6,904,555.65/3,077.53
  6. Step 6: Final answer
    x = 2,243.54

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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.