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Finding the Fourth Proportional to 2,404.60, 3,604.85 and 943.41

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Solution

The fourth proportional to 2,404.60, 3,604.85 and 943.41 is: 1,414.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.60 : 3,604.85 = 943.41 : x
  2. Step 2: Convert to fraction form
    2,404.60/3,604.85 = 943.41/x
  3. Step 3: Cross multiply
    2,404.60x = 3,604.85 × 943.41
  4. Step 4: Simplify right side
    2,404.60x = 3,400,851.54
  5. Step 5: Solve for x
    x = 3,400,851.54/2,404.60
  6. Step 6: Final answer
    x = 1,414.31

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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.