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Finding the Fourth Proportional to 1,536.43, 2,120.06 and 873.14

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Solution

The fourth proportional to 1,536.43, 2,120.06 and 873.14 is: 1,204.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.43 : 2,120.06 = 873.14 : x
  2. Step 2: Convert to fraction form
    1,536.43/2,120.06 = 873.14/x
  3. Step 3: Cross multiply
    1,536.43x = 2,120.06 × 873.14
  4. Step 4: Simplify right side
    1,536.43x = 1,851,104.82
  5. Step 5: Solve for x
    x = 1,851,104.82/1,536.43
  6. Step 6: Final answer
    x = 1,204.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.