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Finding the Fourth Proportional to 1,632.12, 2,447.56 and 536.28

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Solution

The fourth proportional to 1,632.12, 2,447.56 and 536.28 is: 804.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.12 : 2,447.56 = 536.28 : x
  2. Step 2: Convert to fraction form
    1,632.12/2,447.56 = 536.28/x
  3. Step 3: Cross multiply
    1,632.12x = 2,447.56 × 536.28
  4. Step 4: Simplify right side
    1,632.12x = 1,312,577.48
  5. Step 5: Solve for x
    x = 1,312,577.48/1,632.12
  6. Step 6: Final answer
    x = 804.22

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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.