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Finding the Fourth Proportional to 2,591.57, 3,576.36 and 1,412.64

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Solution

The fourth proportional to 2,591.57, 3,576.36 and 1,412.64 is: 1,949.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.57 : 3,576.36 = 1,412.64 : x
  2. Step 2: Convert to fraction form
    2,591.57/3,576.36 = 1,412.64/x
  3. Step 3: Cross multiply
    2,591.57x = 3,576.36 × 1,412.64
  4. Step 4: Simplify right side
    2,591.57x = 5,052,109.19
  5. Step 5: Solve for x
    x = 5,052,109.19/2,591.57
  6. Step 6: Final answer
    x = 1,949.44

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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.