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Finding the Fourth Proportional to 2,536.47, 3,803.64 and 892.62

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Solution

The fourth proportional to 2,536.47, 3,803.64 and 892.62 is: 1,338.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.47 : 3,803.64 = 892.62 : x
  2. Step 2: Convert to fraction form
    2,536.47/3,803.64 = 892.62/x
  3. Step 3: Cross multiply
    2,536.47x = 3,803.64 × 892.62
  4. Step 4: Simplify right side
    2,536.47x = 3,395,205.14
  5. Step 5: Solve for x
    x = 3,395,205.14/2,536.47
  6. Step 6: Final answer
    x = 1,338.56

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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.