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Finding the Fourth Proportional to 2,532.32, 3,797.04 and 1,232.16

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Solution

The fourth proportional to 2,532.32, 3,797.04 and 1,232.16 is: 1,847.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.32 : 3,797.04 = 1,232.16 : x
  2. Step 2: Convert to fraction form
    2,532.32/3,797.04 = 1,232.16/x
  3. Step 3: Cross multiply
    2,532.32x = 3,797.04 × 1,232.16
  4. Step 4: Simplify right side
    2,532.32x = 4,678,560.81
  5. Step 5: Solve for x
    x = 4,678,560.81/2,532.32
  6. Step 6: Final answer
    x = 1,847.54

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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.