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Finding the Fourth Proportional to 2,024.46, 3,037.86 and 725.82

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Solution

The fourth proportional to 2,024.46, 3,037.86 and 725.82 is: 1,089.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.46 : 3,037.86 = 725.82 : x
  2. Step 2: Convert to fraction form
    2,024.46/3,037.86 = 725.82/x
  3. Step 3: Cross multiply
    2,024.46x = 3,037.86 × 725.82
  4. Step 4: Simplify right side
    2,024.46x = 2,204,939.55
  5. Step 5: Solve for x
    x = 2,204,939.55/2,024.46
  6. Step 6: Final answer
    x = 1,089.15

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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.