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Finding the Fourth Proportional to 2,591.44, 3,576.08 and 1,412.48

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Solution

The fourth proportional to 2,591.44, 3,576.08 and 1,412.48 is: 1,949.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.44 : 3,576.08 = 1,412.48 : x
  2. Step 2: Convert to fraction form
    2,591.44/3,576.08 = 1,412.48/x
  3. Step 3: Cross multiply
    2,591.44x = 3,576.08 × 1,412.48
  4. Step 4: Simplify right side
    2,591.44x = 5,051,141.48
  5. Step 5: Solve for x
    x = 5,051,141.48/2,591.44
  6. Step 6: Final answer
    x = 1,949.16

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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.