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Finding the Fourth Proportional to 1,632.16, 2,448.24 and 399.57

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Solution

The fourth proportional to 1,632.16, 2,448.24 and 399.57 is: 599.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.16 : 2,448.24 = 399.57 : x
  2. Step 2: Convert to fraction form
    1,632.16/2,448.24 = 399.57/x
  3. Step 3: Cross multiply
    1,632.16x = 2,448.24 × 399.57
  4. Step 4: Simplify right side
    1,632.16x = 978,243.26
  5. Step 5: Solve for x
    x = 978,243.26/1,632.16
  6. Step 6: Final answer
    x = 599.36

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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.