Home / 1,632.14-2,447.38-536.22

Finding the Fourth Proportional to 1,632.14, 2,447.38 and 536.22

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Solution

The fourth proportional to 1,632.14, 2,447.38 and 536.22 is: 804.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.14 : 2,447.38 = 536.22 : x
  2. Step 2: Convert to fraction form
    1,632.14/2,447.38 = 536.22/x
  3. Step 3: Cross multiply
    1,632.14x = 2,447.38 × 536.22
  4. Step 4: Simplify right side
    1,632.14x = 1,312,334.10
  5. Step 5: Solve for x
    x = 1,312,334.10/1,632.14
  6. Step 6: Final answer
    x = 804.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.