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Finding the Fourth Proportional to 2,591.48, 3,576.43 and 1,596.82

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Solution

The fourth proportional to 2,591.48, 3,576.43 and 1,596.82 is: 2,203.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.48 : 3,576.43 = 1,596.82 : x
  2. Step 2: Convert to fraction form
    2,591.48/3,576.43 = 1,596.82/x
  3. Step 3: Cross multiply
    2,591.48x = 3,576.43 × 1,596.82
  4. Step 4: Simplify right side
    2,591.48x = 5,710,924.05
  5. Step 5: Solve for x
    x = 5,710,924.05/2,591.48
  6. Step 6: Final answer
    x = 2,203.73

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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.