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Finding the Fourth Proportional to 2,814.93, 3,884.01 and 1,635.39

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Solution

The fourth proportional to 2,814.93, 3,884.01 and 1,635.39 is: 2,256.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.93 : 3,884.01 = 1,635.39 : x
  2. Step 2: Convert to fraction form
    2,814.93/3,884.01 = 1,635.39/x
  3. Step 3: Cross multiply
    2,814.93x = 3,884.01 × 1,635.39
  4. Step 4: Simplify right side
    2,814.93x = 6,351,871.11
  5. Step 5: Solve for x
    x = 6,351,871.11/2,814.93
  6. Step 6: Final answer
    x = 2,256.49

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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.