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Finding the Fourth Proportional to 2,241.89, 3,356.43 and 1,780.34

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Solution

The fourth proportional to 2,241.89, 3,356.43 and 1,780.34 is: 2,665.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.89 : 3,356.43 = 1,780.34 : x
  2. Step 2: Convert to fraction form
    2,241.89/3,356.43 = 1,780.34/x
  3. Step 3: Cross multiply
    2,241.89x = 3,356.43 × 1,780.34
  4. Step 4: Simplify right side
    2,241.89x = 5,975,569.80
  5. Step 5: Solve for x
    x = 5,975,569.80/2,241.89
  6. Step 6: Final answer
    x = 2,665.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.