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Finding the Fourth Proportional to 2,591.73, 3,576.78 and 1,457.54

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Solution

The fourth proportional to 2,591.73, 3,576.78 and 1,457.54 is: 2,011.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.73 : 3,576.78 = 1,457.54 : x
  2. Step 2: Convert to fraction form
    2,591.73/3,576.78 = 1,457.54/x
  3. Step 3: Cross multiply
    2,591.73x = 3,576.78 × 1,457.54
  4. Step 4: Simplify right side
    2,591.73x = 5,213,282.04
  5. Step 5: Solve for x
    x = 5,213,282.04/2,591.73
  6. Step 6: Final answer
    x = 2,011.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.