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Finding the Fourth Proportional to 2,037.45, 3,056.21 and 721.18

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Solution

The fourth proportional to 2,037.45, 3,056.21 and 721.18 is: 1,081.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.45 : 3,056.21 = 721.18 : x
  2. Step 2: Convert to fraction form
    2,037.45/3,056.21 = 721.18/x
  3. Step 3: Cross multiply
    2,037.45x = 3,056.21 × 721.18
  4. Step 4: Simplify right side
    2,037.45x = 2,204,069.82
  5. Step 5: Solve for x
    x = 2,204,069.82/2,037.45
  6. Step 6: Final answer
    x = 1,081.78

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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.