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Finding the Fourth Proportional to 2,027.53, 3,039.93 and 1,631.14

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Solution

The fourth proportional to 2,027.53, 3,039.93 and 1,631.14 is: 2,445.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.53 : 3,039.93 = 1,631.14 : x
  2. Step 2: Convert to fraction form
    2,027.53/3,039.93 = 1,631.14/x
  3. Step 3: Cross multiply
    2,027.53x = 3,039.93 × 1,631.14
  4. Step 4: Simplify right side
    2,027.53x = 4,958,543.82
  5. Step 5: Solve for x
    x = 4,958,543.82/2,027.53
  6. Step 6: Final answer
    x = 2,445.61

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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.