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Finding the Fourth Proportional to 2,589.60, 3,884.35 and 641.79

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Solution

The fourth proportional to 2,589.60, 3,884.35 and 641.79 is: 962.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.60 : 3,884.35 = 641.79 : x
  2. Step 2: Convert to fraction form
    2,589.60/3,884.35 = 641.79/x
  3. Step 3: Cross multiply
    2,589.60x = 3,884.35 × 641.79
  4. Step 4: Simplify right side
    2,589.60x = 2,492,936.99
  5. Step 5: Solve for x
    x = 2,492,936.99/2,589.60
  6. Step 6: Final answer
    x = 962.67

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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.