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Finding the Fourth Proportional to 1,808.09, 2,493.46 and 1,542.64

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Solution

The fourth proportional to 1,808.09, 2,493.46 and 1,542.64 is: 2,127.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.09 : 2,493.46 = 1,542.64 : x
  2. Step 2: Convert to fraction form
    1,808.09/2,493.46 = 1,542.64/x
  3. Step 3: Cross multiply
    1,808.09x = 2,493.46 × 1,542.64
  4. Step 4: Simplify right side
    1,808.09x = 3,846,511.13
  5. Step 5: Solve for x
    x = 3,846,511.13/1,808.09
  6. Step 6: Final answer
    x = 2,127.39

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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.