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Finding the Fourth Proportional to 3,421.78, 4,722.25 and 1,929.42

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Solution

The fourth proportional to 3,421.78, 4,722.25 and 1,929.42 is: 2,662.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.78 : 4,722.25 = 1,929.42 : x
  2. Step 2: Convert to fraction form
    3,421.78/4,722.25 = 1,929.42/x
  3. Step 3: Cross multiply
    3,421.78x = 4,722.25 × 1,929.42
  4. Step 4: Simplify right side
    3,421.78x = 9,111,202.39
  5. Step 5: Solve for x
    x = 9,111,202.39/3,421.78
  6. Step 6: Final answer
    x = 2,662.71

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