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Finding the Fourth Proportional to 1,632.16, 2,448.41 and 536.27

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Solution

The fourth proportional to 1,632.16, 2,448.41 and 536.27 is: 804.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.16 : 2,448.41 = 536.27 : x
  2. Step 2: Convert to fraction form
    1,632.16/2,448.41 = 536.27/x
  3. Step 3: Cross multiply
    1,632.16x = 2,448.41 × 536.27
  4. Step 4: Simplify right side
    1,632.16x = 1,313,008.83
  5. Step 5: Solve for x
    x = 1,313,008.83/1,632.16
  6. Step 6: Final answer
    x = 804.46

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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.