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Finding the Fourth Proportional to 1,788.37, 2,468.07 and 1,002.42

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Solution

The fourth proportional to 1,788.37, 2,468.07 and 1,002.42 is: 1,383.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.37 : 2,468.07 = 1,002.42 : x
  2. Step 2: Convert to fraction form
    1,788.37/2,468.07 = 1,002.42/x
  3. Step 3: Cross multiply
    1,788.37x = 2,468.07 × 1,002.42
  4. Step 4: Simplify right side
    1,788.37x = 2,474,042.73
  5. Step 5: Solve for x
    x = 2,474,042.73/1,788.37
  6. Step 6: Final answer
    x = 1,383.41

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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.