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Finding the Fourth Proportional to 1,604.59, 2,408.38 and 989.48

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Solution

The fourth proportional to 1,604.59, 2,408.38 and 989.48 is: 1,485.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.59 : 2,408.38 = 989.48 : x
  2. Step 2: Convert to fraction form
    1,604.59/2,408.38 = 989.48/x
  3. Step 3: Cross multiply
    1,604.59x = 2,408.38 × 989.48
  4. Step 4: Simplify right side
    1,604.59x = 2,383,047.39
  5. Step 5: Solve for x
    x = 2,383,047.39/1,604.59
  6. Step 6: Final answer
    x = 1,485.15

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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.